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Finding the Third Proportional to 107,932 and 231,722

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Solution

The third proportional to 107,932 and 231,722 is: 497,489.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,932 : 231,722 = 231,722 : x
  2. Step 2: Convert to fraction form
    107,932/231,722 = 231,722/x
  3. Step 3: Cross multiply
    107,932x = 231,722 × 231,722
  4. Step 4: Simplify right side
    107,932x = 53,695,085,284
  5. Step 5: Solve for x
    x = 53,695,085,284/107,932
  6. Step 6: Final answer
    x = 497,489.95

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.