Finding the Third Proportional to 182,275 and 284,928
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Solution
The third proportional to 182,275 and 284,928 is: 445,392.76
Step by Step Solution
- Step 1: Write the proportion equation
182,275 : 284,928 = 284,928 : x - Step 2: Convert to fraction form
182,275/284,928 = 284,928/x - Step 3: Cross multiply
182,275x = 284,928 × 284,928 - Step 4: Simplify right side
182,275x = 81,183,965,184 - Step 5: Solve for x
x = 81,183,965,184/182,275 - Step 6: Final answer
x = 445,392.76
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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.