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Finding the Third Proportional to 140,589.50 and 217,753

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Solution

The third proportional to 140,589.50 and 217,753 is: 337,268.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,589.50 : 217,753 = 217,753 : x
  2. Step 2: Convert to fraction form
    140,589.50/217,753 = 217,753/x
  3. Step 3: Cross multiply
    140,589.50x = 217,753 × 217,753
  4. Step 4: Simplify right side
    140,589.50x = 47,416,369,009
  5. Step 5: Solve for x
    x = 47,416,369,009/140,589.50
  6. Step 6: Final answer
    x = 337,268.21

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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.