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Finding the Third Proportional to 126,446 and 270,827

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Solution

The third proportional to 126,446 and 270,827 is: 580,067.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,446 : 270,827 = 270,827 : x
  2. Step 2: Convert to fraction form
    126,446/270,827 = 270,827/x
  3. Step 3: Cross multiply
    126,446x = 270,827 × 270,827
  4. Step 4: Simplify right side
    126,446x = 73,347,263,929
  5. Step 5: Solve for x
    x = 73,347,263,929/126,446
  6. Step 6: Final answer
    x = 580,067.89

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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.