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Finding the Third Proportional to 177,864 and 271,314

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Solution

The third proportional to 177,864 and 271,314 is: 413,862.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,864 : 271,314 = 271,314 : x
  2. Step 2: Convert to fraction form
    177,864/271,314 = 271,314/x
  3. Step 3: Cross multiply
    177,864x = 271,314 × 271,314
  4. Step 4: Simplify right side
    177,864x = 73,611,286,596
  5. Step 5: Solve for x
    x = 73,611,286,596/177,864
  6. Step 6: Final answer
    x = 413,862.76

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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.