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Finding the Third Proportional to 120,857 and 261,802

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Solution

The third proportional to 120,857 and 261,802 is: 567,118.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,857 : 261,802 = 261,802 : x
  2. Step 2: Convert to fraction form
    120,857/261,802 = 261,802/x
  3. Step 3: Cross multiply
    120,857x = 261,802 × 261,802
  4. Step 4: Simplify right side
    120,857x = 68,540,287,204
  5. Step 5: Solve for x
    x = 68,540,287,204/120,857
  6. Step 6: Final answer
    x = 567,118.89

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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.