complex dosage calculations

How Do You Use Ratio and Proportion in Dosage Calculations?

Ratio and proportion are often used to solve for unknown quantities in dosage calculations. For instance, if you need to administer a medication that comes in a concentration of 250 mg/5 mL, and the prescribed dose is 500 mg, the calculation would be:
\[ \frac{250 \text{ mg}}{5 \text{ mL}} = \frac{500 \text{ mg}}{x \text{ mL}} \]
Solving for \(x\):
\[ x = \frac{500 \text{ mg} \times 5 \text{ mL}}{250 \text{ mg}} = 10 \text{ mL} \]

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