Finding the Third Proportional to 208 and 317
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Solution
The third proportional to 208 and 317 is: 483.12
Step by Step Solution
- Step 1: Write the proportion equation
208 : 317 = 317 : x - Step 2: Convert to fraction form
208/317 = 317/x - Step 3: Cross multiply
208x = 317 × 317 - Step 4: Simplify right side
208x = 100,489 - Step 5: Solve for x
x = 100,489/208 - Step 6: Final answer
x = 483.12
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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.