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Finding the Third Proportional to 107,716 and 231,424

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Solution

The third proportional to 107,716 and 231,424 is: 497,206.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,716 : 231,424 = 231,424 : x
  2. Step 2: Convert to fraction form
    107,716/231,424 = 231,424/x
  3. Step 3: Cross multiply
    107,716x = 231,424 × 231,424
  4. Step 4: Simplify right side
    107,716x = 53,557,067,776
  5. Step 5: Solve for x
    x = 53,557,067,776/107,716
  6. Step 6: Final answer
    x = 497,206.24

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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.