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Finding the Third Proportional to 159,468 and 246,762

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Solution

The third proportional to 159,468 and 246,762 is: 381,841.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,468 : 246,762 = 246,762 : x
  2. Step 2: Convert to fraction form
    159,468/246,762 = 246,762/x
  3. Step 3: Cross multiply
    159,468x = 246,762 × 246,762
  4. Step 4: Simplify right side
    159,468x = 60,891,484,644
  5. Step 5: Solve for x
    x = 60,891,484,644/159,468
  6. Step 6: Final answer
    x = 381,841.40

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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.