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Finding the Third Proportional to 127,000 and 271,494

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Solution

The third proportional to 127,000 and 271,494 is: 580,385.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,000 : 271,494 = 271,494 : x
  2. Step 2: Convert to fraction form
    127,000/271,494 = 271,494/x
  3. Step 3: Cross multiply
    127,000x = 271,494 × 271,494
  4. Step 4: Simplify right side
    127,000x = 73,708,992,036
  5. Step 5: Solve for x
    x = 73,708,992,036/127,000
  6. Step 6: Final answer
    x = 580,385.76

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.