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Finding the Third Proportional to 155,600 and 220,188

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Solution

The third proportional to 155,600 and 220,188 is: 311,585.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,600 : 220,188 = 220,188 : x
  2. Step 2: Convert to fraction form
    155,600/220,188 = 220,188/x
  3. Step 3: Cross multiply
    155,600x = 220,188 × 220,188
  4. Step 4: Simplify right side
    155,600x = 48,482,755,344
  5. Step 5: Solve for x
    x = 48,482,755,344/155,600
  6. Step 6: Final answer
    x = 311,585.83

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.