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Finding the Third Proportional to 138,469 and 301,238

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Solution

The third proportional to 138,469 and 301,238 is: 655,340.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,469 : 301,238 = 301,238 : x
  2. Step 2: Convert to fraction form
    138,469/301,238 = 301,238/x
  3. Step 3: Cross multiply
    138,469x = 301,238 × 301,238
  4. Step 4: Simplify right side
    138,469x = 90,744,332,644
  5. Step 5: Solve for x
    x = 90,744,332,644/138,469
  6. Step 6: Final answer
    x = 655,340.42

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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.