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Finding the Third Proportional to 107,860 and 231,332

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Solution

The third proportional to 107,860 and 231,332 is: 496,147.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,860 : 231,332 = 231,332 : x
  2. Step 2: Convert to fraction form
    107,860/231,332 = 231,332/x
  3. Step 3: Cross multiply
    107,860x = 231,332 × 231,332
  4. Step 4: Simplify right side
    107,860x = 53,514,494,224
  5. Step 5: Solve for x
    x = 53,514,494,224/107,860
  6. Step 6: Final answer
    x = 496,147.73

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.