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Finding the Third Proportional to 107,653 and 231,757

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Solution

The third proportional to 107,653 and 231,757 is: 498,929.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,653 : 231,757 = 231,757 : x
  2. Step 2: Convert to fraction form
    107,653/231,757 = 231,757/x
  3. Step 3: Cross multiply
    107,653x = 231,757 × 231,757
  4. Step 4: Simplify right side
    107,653x = 53,711,307,049
  5. Step 5: Solve for x
    x = 53,711,307,049/107,653
  6. Step 6: Final answer
    x = 498,929.96

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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.