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The correct answer is $370$. It’s given that the population density of Cedar County is $230$ people per square mile and the county has a population of $\mathrm{85,100}$ people. Based on the population density, it follows that the area of Cedar County is $\left(\mathrm{85,100} \text{people}\right)\left(\frac{1 \text{square} \text{mile}}{230 \text{people}}\right)$, or $370$ square miles.