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Finding the Third Proportional to 126,403.31 and 271,396.13

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Solution

The third proportional to 126,403.31 and 271,396.13 is: 582,705.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,403.31 : 271,396.13 = 271,396.13 : x
  2. Step 2: Convert to fraction form
    126,403.31/271,396.13 = 271,396.13/x
  3. Step 3: Cross multiply
    126,403.31x = 271,396.13 × 271,396.13
  4. Step 4: Simplify right side
    126,403.31x = 73,655,856,665.02
  5. Step 5: Solve for x
    x = 73,655,856,665.02/126,403.31
  6. Step 6: Final answer
    x = 582,705.11

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.