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Finding the Third Proportional to 106,331 and 231,238

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Solution

The third proportional to 106,331 and 231,238 is: 502,873.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,331 : 231,238 = 231,238 : x
  2. Step 2: Convert to fraction form
    106,331/231,238 = 231,238/x
  3. Step 3: Cross multiply
    106,331x = 231,238 × 231,238
  4. Step 4: Simplify right side
    106,331x = 53,471,012,644
  5. Step 5: Solve for x
    x = 53,471,012,644/106,331
  6. Step 6: Final answer
    x = 502,873.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.