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Finding the Third Proportional to 177,586 and 271,662

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Solution

The third proportional to 177,586 and 271,662 is: 415,574.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,586 : 271,662 = 271,662 : x
  2. Step 2: Convert to fraction form
    177,586/271,662 = 271,662/x
  3. Step 3: Cross multiply
    177,586x = 271,662 × 271,662
  4. Step 4: Simplify right side
    177,586x = 73,800,242,244
  5. Step 5: Solve for x
    x = 73,800,242,244/177,586
  6. Step 6: Final answer
    x = 415,574.66

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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.