Finding the Third Proportional to 271 and 353
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Solution
The third proportional to 271 and 353 is: 459.81
Step by Step Solution
- Step 1: Write the proportion equation
271 : 353 = 353 : x - Step 2: Convert to fraction form
271/353 = 353/x - Step 3: Cross multiply
271x = 353 × 353 - Step 4: Simplify right side
271x = 124,609 - Step 5: Solve for x
x = 124,609/271 - Step 6: Final answer
x = 459.81
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These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.