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Finding the Third Proportional to 159,449 and 246,876

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Solution

The third proportional to 159,449 and 246,876 is: 382,239.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,449 : 246,876 = 246,876 : x
  2. Step 2: Convert to fraction form
    159,449/246,876 = 246,876/x
  3. Step 3: Cross multiply
    159,449x = 246,876 × 246,876
  4. Step 4: Simplify right side
    159,449x = 60,947,759,376
  5. Step 5: Solve for x
    x = 60,947,759,376/159,449
  6. Step 6: Final answer
    x = 382,239.83

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.