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Finding the Third Proportional to 137,279.25 and 251,777.25

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Solution

The third proportional to 137,279.25 and 251,777.25 is: 461,772.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,279.25 : 251,777.25 = 251,777.25 : x
  2. Step 2: Convert to fraction form
    137,279.25/251,777.25 = 251,777.25/x
  3. Step 3: Cross multiply
    137,279.25x = 251,777.25 × 251,777.25
  4. Step 4: Simplify right side
    137,279.25x = 63,391,783,617.56
  5. Step 5: Solve for x
    x = 63,391,783,617.56/137,279.25
  6. Step 6: Final answer
    x = 461,772.51

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Why These Related Problems?

These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.