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Finding the Third Proportional to 123,536.25 and 269,727.75

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Solution

The third proportional to 123,536.25 and 269,727.75 is: 588,920.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,536.25 : 269,727.75 = 269,727.75 : x
  2. Step 2: Convert to fraction form
    123,536.25/269,727.75 = 269,727.75/x
  3. Step 3: Cross multiply
    123,536.25x = 269,727.75 × 269,727.75
  4. Step 4: Simplify right side
    123,536.25x = 72,753,059,120.06
  5. Step 5: Solve for x
    x = 72,753,059,120.06/123,536.25
  6. Step 6: Final answer
    x = 588,920.73

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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.