Finding the Third Proportional to 178,166 and 261,416
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Solution
The third proportional to 178,166 and 261,416 is: 383,565.47
Step by Step Solution
- Step 1: Write the proportion equation
178,166 : 261,416 = 261,416 : x - Step 2: Convert to fraction form
178,166/261,416 = 261,416/x - Step 3: Cross multiply
178,166x = 261,416 × 261,416 - Step 4: Simplify right side
178,166x = 68,338,325,056 - Step 5: Solve for x
x = 68,338,325,056/178,166 - Step 6: Final answer
x = 383,565.47
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Why These Related Problems?
These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.