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Finding the Third Proportional to 126,324 and 270,151

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Solution

The third proportional to 126,324 and 270,151 is: 577,733.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,324 : 270,151 = 270,151 : x
  2. Step 2: Convert to fraction form
    126,324/270,151 = 270,151/x
  3. Step 3: Cross multiply
    126,324x = 270,151 × 270,151
  4. Step 4: Simplify right side
    126,324x = 72,981,562,801
  5. Step 5: Solve for x
    x = 72,981,562,801/126,324
  6. Step 6: Final answer
    x = 577,733.15

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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.