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Finding the Third Proportional to 135,981 and 288,170

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Solution

The third proportional to 135,981 and 288,170 is: 610,687.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,981 : 288,170 = 288,170 : x
  2. Step 2: Convert to fraction form
    135,981/288,170 = 288,170/x
  3. Step 3: Cross multiply
    135,981x = 288,170 × 288,170
  4. Step 4: Simplify right side
    135,981x = 83,041,948,900
  5. Step 5: Solve for x
    x = 83,041,948,900/135,981
  6. Step 6: Final answer
    x = 610,687.88

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.