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Finding the Third Proportional to 127,524 and 280,212

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Solution

The third proportional to 127,524 and 280,212 is: 615,717.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,524 : 280,212 = 280,212 : x
  2. Step 2: Convert to fraction form
    127,524/280,212 = 280,212/x
  3. Step 3: Cross multiply
    127,524x = 280,212 × 280,212
  4. Step 4: Simplify right side
    127,524x = 78,518,764,944
  5. Step 5: Solve for x
    x = 78,518,764,944/127,524
  6. Step 6: Final answer
    x = 615,717.55

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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.