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Finding the Third Proportional to 127,463 and 280,089

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Solution

The third proportional to 127,463 and 280,089 is: 615,471.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,463 : 280,089 = 280,089 : x
  2. Step 2: Convert to fraction form
    127,463/280,089 = 280,089/x
  3. Step 3: Cross multiply
    127,463x = 280,089 × 280,089
  4. Step 4: Simplify right side
    127,463x = 78,449,847,921
  5. Step 5: Solve for x
    x = 78,449,847,921/127,463
  6. Step 6: Final answer
    x = 615,471.53

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.