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Finding the Third Proportional to 177,591 and 271,671

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Solution

The third proportional to 177,591 and 271,671 is: 415,590.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,591 : 271,671 = 271,671 : x
  2. Step 2: Convert to fraction form
    177,591/271,671 = 271,671/x
  3. Step 3: Cross multiply
    177,591x = 271,671 × 271,671
  4. Step 4: Simplify right side
    177,591x = 73,805,132,241
  5. Step 5: Solve for x
    x = 73,805,132,241/177,591
  6. Step 6: Final answer
    x = 415,590.50

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.