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Finding the Third Proportional to 171,241.88 and 271,140.75

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Solution

The third proportional to 171,241.88 and 271,140.75 is: 429,318.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,241.88 : 271,140.75 = 271,140.75 : x
  2. Step 2: Convert to fraction form
    171,241.88/271,140.75 = 271,140.75/x
  3. Step 3: Cross multiply
    171,241.88x = 271,140.75 × 271,140.75
  4. Step 4: Simplify right side
    171,241.88x = 73,517,306,310.56
  5. Step 5: Solve for x
    x = 73,517,306,310.56/171,241.88
  6. Step 6: Final answer
    x = 429,318.51

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.