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Finding the Third Proportional to 71,198 and 151,600

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Solution

The third proportional to 71,198 and 151,600 is: 322,797.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,198 : 151,600 = 151,600 : x
  2. Step 2: Convert to fraction form
    71,198/151,600 = 151,600/x
  3. Step 3: Cross multiply
    71,198x = 151,600 × 151,600
  4. Step 4: Simplify right side
    71,198x = 22,982,560,000
  5. Step 5: Solve for x
    x = 22,982,560,000/71,198
  6. Step 6: Final answer
    x = 322,797.83

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.