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Finding the Third Proportional to 107,434 and 231,950

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Solution

The third proportional to 107,434 and 231,950 is: 500,780.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,434 : 231,950 = 231,950 : x
  2. Step 2: Convert to fraction form
    107,434/231,950 = 231,950/x
  3. Step 3: Cross multiply
    107,434x = 231,950 × 231,950
  4. Step 4: Simplify right side
    107,434x = 53,800,802,500
  5. Step 5: Solve for x
    x = 53,800,802,500/107,434
  6. Step 6: Final answer
    x = 500,780.04

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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.