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Finding the Third Proportional to 171,750 and 231,380

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Solution

The third proportional to 171,750 and 231,380 is: 311,712.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,750 : 231,380 = 231,380 : x
  2. Step 2: Convert to fraction form
    171,750/231,380 = 231,380/x
  3. Step 3: Cross multiply
    171,750x = 231,380 × 231,380
  4. Step 4: Simplify right side
    171,750x = 53,536,704,400
  5. Step 5: Solve for x
    x = 53,536,704,400/171,750
  6. Step 6: Final answer
    x = 311,712.98

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.