Finding the Third Proportional to 353 and 374
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Solution
The third proportional to 353 and 374 is: 396.25
Step by Step Solution
- Step 1: Write the proportion equation
353 : 374 = 374 : x - Step 2: Convert to fraction form
353/374 = 374/x - Step 3: Cross multiply
353x = 374 × 374 - Step 4: Simplify right side
353x = 139,876 - Step 5: Solve for x
x = 139,876/353 - Step 6: Final answer
x = 396.25
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These problems maintain the same ratio (1.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.