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Finding the Third Proportional to 159,468 and 246,760

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Solution

The third proportional to 159,468 and 246,760 is: 381,835.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,468 : 246,760 = 246,760 : x
  2. Step 2: Convert to fraction form
    159,468/246,760 = 246,760/x
  3. Step 3: Cross multiply
    159,468x = 246,760 × 246,760
  4. Step 4: Simplify right side
    159,468x = 60,890,497,600
  5. Step 5: Solve for x
    x = 60,890,497,600/159,468
  6. Step 6: Final answer
    x = 381,835.21

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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.