Story highlights In Florida and Pennsylvania, Clinton narrowly leads Trump, 43% to 42%

In Ohio, Trump leads Clinton 43% to 39%

Washington (CNN) Hillary Clinton and Donald Trump, the likely general election presidential nominees, are running neck-and-neck in the battleground states of Florida, Ohio and Pennsylvania, results driven by wide gender and racial gaps among voters, a new general election poll shows.

Clinton edges Trump in Florida and Pennsylvania, while Trump leads in Ohio, a ccording to the Quinnipiac University poll released Tuesday

In both Florida and Pennsylvania the poll shows Clinton narrowly over Trump, 43% to 42%. In Ohio, Trump leads Clinton 43% to 39%.

"At this juncture, Trump is doing better in Pennsylvania than the GOP nominees in 2008 and 2012. And the two candidates are about where their party predecessors were at this point in Ohio and Florida," said Peter A. Brown, assistant director of the Quinnipiac poll, in a memo accompanying the poll results.

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