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Finding the Third Proportional to 107,446 and 236,336

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Solution

The third proportional to 107,446 and 236,336 is: 519,839.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,446 : 236,336 = 236,336 : x
  2. Step 2: Convert to fraction form
    107,446/236,336 = 236,336/x
  3. Step 3: Cross multiply
    107,446x = 236,336 × 236,336
  4. Step 4: Simplify right side
    107,446x = 55,854,704,896
  5. Step 5: Solve for x
    x = 55,854,704,896/107,446
  6. Step 6: Final answer
    x = 519,839.78

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.