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Finding the Third Proportional to 175,007 and 271,493

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Solution

The third proportional to 175,007 and 271,493 is: 421,174.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,007 : 271,493 = 271,493 : x
  2. Step 2: Convert to fraction form
    175,007/271,493 = 271,493/x
  3. Step 3: Cross multiply
    175,007x = 271,493 × 271,493
  4. Step 4: Simplify right side
    175,007x = 73,708,449,049
  5. Step 5: Solve for x
    x = 73,708,449,049/175,007
  6. Step 6: Final answer
    x = 421,174.29

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.