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Finding the Third Proportional to 177,930 and 391,510.13

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Solution

The third proportional to 177,930 and 391,510.13 is: 861,463.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,930 : 391,510.13 = 391,510.13 : x
  2. Step 2: Convert to fraction form
    177,930/391,510.13 = 391,510.13/x
  3. Step 3: Cross multiply
    177,930x = 391,510.13 × 391,510.13
  4. Step 4: Simplify right side
    177,930x = 153,280,177,977.52
  5. Step 5: Solve for x
    x = 153,280,177,977.52/177,930
  6. Step 6: Final answer
    x = 861,463.37

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.