Finding the Third Proportional to 327 and 363
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Solution
The third proportional to 327 and 363 is: 402.96
Step by Step Solution
- Step 1: Write the proportion equation
327 : 363 = 363 : x - Step 2: Convert to fraction form
327/363 = 363/x - Step 3: Cross multiply
327x = 363 × 363 - Step 4: Simplify right side
327x = 131,769 - Step 5: Solve for x
x = 131,769/327 - Step 6: Final answer
x = 402.96
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Why These Related Problems?
These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.