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Finding the Third Proportional to 234,150.75 and 348,634.13

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Solution

The third proportional to 234,150.75 and 348,634.13 is: 519,091.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,150.75 : 348,634.13 = 348,634.13 : x
  2. Step 2: Convert to fraction form
    234,150.75/348,634.13 = 348,634.13/x
  3. Step 3: Cross multiply
    234,150.75x = 348,634.13 × 348,634.13
  4. Step 4: Simplify right side
    234,150.75x = 121,545,753,114.52
  5. Step 5: Solve for x
    x = 121,545,753,114.52/234,150.75
  6. Step 6: Final answer
    x = 519,091.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.