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Finding the Third Proportional to 175,491 and 271,505

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Solution

The third proportional to 175,491 and 271,505 is: 420,049.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,491 : 271,505 = 271,505 : x
  2. Step 2: Convert to fraction form
    175,491/271,505 = 271,505/x
  3. Step 3: Cross multiply
    175,491x = 271,505 × 271,505
  4. Step 4: Simplify right side
    175,491x = 73,714,965,025
  5. Step 5: Solve for x
    x = 73,714,965,025/175,491
  6. Step 6: Final answer
    x = 420,049.83

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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.