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Finding the Third Proportional to 149,469.38 and 226,972.13

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Solution

The third proportional to 149,469.38 and 226,972.13 is: 344,661.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,469.38 : 226,972.13 = 226,972.13 : x
  2. Step 2: Convert to fraction form
    149,469.38/226,972.13 = 226,972.13/x
  3. Step 3: Cross multiply
    149,469.38x = 226,972.13 × 226,972.13
  4. Step 4: Simplify right side
    149,469.38x = 51,516,345,527.02
  5. Step 5: Solve for x
    x = 51,516,345,527.02/149,469.38
  6. Step 6: Final answer
    x = 344,661.54

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.