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Finding the Third Proportional to 177,602 and 271,689

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Solution

The third proportional to 177,602 and 271,689 is: 415,619.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,602 : 271,689 = 271,689 : x
  2. Step 2: Convert to fraction form
    177,602/271,689 = 271,689/x
  3. Step 3: Cross multiply
    177,602x = 271,689 × 271,689
  4. Step 4: Simplify right side
    177,602x = 73,814,912,721
  5. Step 5: Solve for x
    x = 73,814,912,721/177,602
  6. Step 6: Final answer
    x = 415,619.83

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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.