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Finding the Third Proportional to 120,591 and 261,933

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Solution

The third proportional to 120,591 and 261,933 is: 568,938.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,591 : 261,933 = 261,933 : x
  2. Step 2: Convert to fraction form
    120,591/261,933 = 261,933/x
  3. Step 3: Cross multiply
    120,591x = 261,933 × 261,933
  4. Step 4: Simplify right side
    120,591x = 68,608,896,489
  5. Step 5: Solve for x
    x = 68,608,896,489/120,591
  6. Step 6: Final answer
    x = 568,938.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.