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Finding the Third Proportional to 159,714 and 247,266

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Solution

The third proportional to 159,714 and 247,266 is: 382,812.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,714 : 247,266 = 247,266 : x
  2. Step 2: Convert to fraction form
    159,714/247,266 = 247,266/x
  3. Step 3: Cross multiply
    159,714x = 247,266 × 247,266
  4. Step 4: Simplify right side
    159,714x = 61,140,474,756
  5. Step 5: Solve for x
    x = 61,140,474,756/159,714
  6. Step 6: Final answer
    x = 382,812.24

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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.