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Finding the Third Proportional to 140,170.50 and 217,404

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Solution

The third proportional to 140,170.50 and 217,404 is: 337,192.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,170.50 : 217,404 = 217,404 : x
  2. Step 2: Convert to fraction form
    140,170.50/217,404 = 217,404/x
  3. Step 3: Cross multiply
    140,170.50x = 217,404 × 217,404
  4. Step 4: Simplify right side
    140,170.50x = 47,264,499,216
  5. Step 5: Solve for x
    x = 47,264,499,216/140,170.50
  6. Step 6: Final answer
    x = 337,192.91

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.