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Finding the Third Proportional to 159,456 and 246,744

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Solution

The third proportional to 159,456 and 246,744 is: 381,814.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,456 : 246,744 = 246,744 : x
  2. Step 2: Convert to fraction form
    159,456/246,744 = 246,744/x
  3. Step 3: Cross multiply
    159,456x = 246,744 × 246,744
  4. Step 4: Simplify right side
    159,456x = 60,882,601,536
  5. Step 5: Solve for x
    x = 60,882,601,536/159,456
  6. Step 6: Final answer
    x = 381,814.43

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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.