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Finding the Third Proportional to 274,123.50 and 411,186

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Solution

The third proportional to 274,123.50 and 411,186 is: 616,780.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,123.50 : 411,186 = 411,186 : x
  2. Step 2: Convert to fraction form
    274,123.50/411,186 = 411,186/x
  3. Step 3: Cross multiply
    274,123.50x = 411,186 × 411,186
  4. Step 4: Simplify right side
    274,123.50x = 169,073,926,596
  5. Step 5: Solve for x
    x = 169,073,926,596/274,123.50
  6. Step 6: Final answer
    x = 616,780.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.