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Finding the Third Proportional to 107,424 and 231,930

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Solution

The third proportional to 107,424 and 231,930 is: 500,740.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,424 : 231,930 = 231,930 : x
  2. Step 2: Convert to fraction form
    107,424/231,930 = 231,930/x
  3. Step 3: Cross multiply
    107,424x = 231,930 × 231,930
  4. Step 4: Simplify right side
    107,424x = 53,791,524,900
  5. Step 5: Solve for x
    x = 53,791,524,900/107,424
  6. Step 6: Final answer
    x = 500,740.29

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.