Republican presidential nominee Mitt Romney’s widely-acknowledged victory in Wednesday’s presidential debate has helped him to draw even or slightly ahead in several key swing states, according to polls released Friday.

A poll by We Ask America found Mr. Romney leading President Obama by 3 percentage points in Florida and Virginia and by 1 point in Ohio, after polls have consistently shown the president leading over the past month.

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The firm conducted a previous poll two weeks ago that showed Mr. Obama with 3-point leads in Florida and Virginia.

A poll released Friday by Rasmussen Reports also shows the president clinging to a 1-point lead in Ohio, but that Mr. Romney has overtaken him by 1 point in Virginia.

Rasmussen’s previous polls in the state were conducted in mid-September and showed the president leading by a percentage point in Ohio and Virginia.