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Finding the Third Proportional to 126,324 and 270,150

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Solution

The third proportional to 126,324 and 270,150 is: 577,728.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,324 : 270,150 = 270,150 : x
  2. Step 2: Convert to fraction form
    126,324/270,150 = 270,150/x
  3. Step 3: Cross multiply
    126,324x = 270,150 × 270,150
  4. Step 4: Simplify right side
    126,324x = 72,981,022,500
  5. Step 5: Solve for x
    x = 72,981,022,500/126,324
  6. Step 6: Final answer
    x = 577,728.88

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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.