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Finding the Third Proportional to 123,535.13 and 269,726.20

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Solution

The third proportional to 123,535.13 and 269,726.20 is: 588,919.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,535.13 : 269,726.20 = 269,726.20 : x
  2. Step 2: Convert to fraction form
    123,535.13/269,726.20 = 269,726.20/x
  3. Step 3: Cross multiply
    123,535.13x = 269,726.20 × 269,726.20
  4. Step 4: Simplify right side
    123,535.13x = 72,752,224,652.23
  5. Step 5: Solve for x
    x = 72,752,224,652.23/123,535.13
  6. Step 6: Final answer
    x = 588,919.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.