Ohio is about 2.3 times smaller than Oregon.

Oregon is approximately 248,631 sq km, while Ohio is approximately 106,056 sq km, making Ohio 42.66% the size of Oregon. Meanwhile, the population of Oregon is ~3.8 million people (7.7 million more people live in Ohio).
This to-scale comparison of Oregon vs. Ohio uses the Mercator projection, which distorts the size of regions near the poles. Learn more.

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