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Finding the Third Proportional to 231,013.50 and 345,580.13

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Solution

The third proportional to 231,013.50 and 345,580.13 is: 516,963.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,013.50 : 345,580.13 = 345,580.13 : x
  2. Step 2: Convert to fraction form
    231,013.50/345,580.13 = 345,580.13/x
  3. Step 3: Cross multiply
    231,013.50x = 345,580.13 × 345,580.13
  4. Step 4: Simplify right side
    231,013.50x = 119,425,622,795.02
  5. Step 5: Solve for x
    x = 119,425,622,795.02/231,013.50
  6. Step 6: Final answer
    x = 516,963.83

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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.