OAKLAND, Calif. — The Golden State Warriors and the Portland Trail Blazers are familiar opponents with disparate identities. And as they prepare for Game 1 of the Western Conference finals on Tuesday night, one franchise has everything that the other covets: the prestige and fulfillment that come with a championship (or three).

The Blazers, who won their only N.B.A. title in 1977, have cleared one hurdle by advancing past the conference semifinals for the first time in 19 years. Now, they have another huge opportunity in front of them — to put a dent in a dynasty. And the Warriors, hobbled by an injury to Kevin Durant, are chasing their fourth title in five years.

“It’s a beautiful team to watch,” Warriors Coach Steve Kerr said of the Blazers. “There’s an energy about them, which you can feel even when you’re watching them on TV.”

Kerr cited the Blazers’ continuity as one of the reasons for their success: the same core group of players, the same coaching staff, the same slow build into something greater than respectability. It has been easy for the Warriors to chart the Blazers’ progress: These two teams are meeting in the playoffs for the third time in four seasons, and the previous meetings have not gone particularly well for Portland. In 2016, the Warriors needed five games to eliminate the Blazers in the conference semifinals. One year later, Golden State advanced with a first-round sweep.