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Finding the Third Proportional to 107,739 and 231,354

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Solution

The third proportional to 107,739 and 231,354 is: 496,799.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,739 : 231,354 = 231,354 : x
  2. Step 2: Convert to fraction form
    107,739/231,354 = 231,354/x
  3. Step 3: Cross multiply
    107,739x = 231,354 × 231,354
  4. Step 4: Simplify right side
    107,739x = 53,524,673,316
  5. Step 5: Solve for x
    x = 53,524,673,316/107,739
  6. Step 6: Final answer
    x = 496,799.43

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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.