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Finding the Third Proportional to 126,230 and 270,188

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Solution

The third proportional to 126,230 and 270,188 is: 578,321.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,230 : 270,188 = 270,188 : x
  2. Step 2: Convert to fraction form
    126,230/270,188 = 270,188/x
  3. Step 3: Cross multiply
    126,230x = 270,188 × 270,188
  4. Step 4: Simplify right side
    126,230x = 73,001,555,344
  5. Step 5: Solve for x
    x = 73,001,555,344/126,230
  6. Step 6: Final answer
    x = 578,321.76

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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.