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Finding the Third Proportional to 107,008 and 231,872

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Solution

The third proportional to 107,008 and 231,872 is: 502,435.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,008 : 231,872 = 231,872 : x
  2. Step 2: Convert to fraction form
    107,008/231,872 = 231,872/x
  3. Step 3: Cross multiply
    107,008x = 231,872 × 231,872
  4. Step 4: Simplify right side
    107,008x = 53,764,624,384
  5. Step 5: Solve for x
    x = 53,764,624,384/107,008
  6. Step 6: Final answer
    x = 502,435.56

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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.