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Finding the Third Proportional to 159,447.25 and 246,872.75

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Solution

The third proportional to 159,447.25 and 246,872.75 is: 382,233.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,447.25 : 246,872.75 = 246,872.75 : x
  2. Step 2: Convert to fraction form
    159,447.25/246,872.75 = 246,872.75/x
  3. Step 3: Cross multiply
    159,447.25x = 246,872.75 × 246,872.75
  4. Step 4: Simplify right side
    159,447.25x = 60,946,154,692.56
  5. Step 5: Solve for x
    x = 60,946,154,692.56/159,447.25
  6. Step 6: Final answer
    x = 382,233.97

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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.