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Finding the Third Proportional to 126,207 and 275,256

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Solution

The third proportional to 126,207 and 275,256 is: 600,330.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,207 : 275,256 = 275,256 : x
  2. Step 2: Convert to fraction form
    126,207/275,256 = 275,256/x
  3. Step 3: Cross multiply
    126,207x = 275,256 × 275,256
  4. Step 4: Simplify right side
    126,207x = 75,765,865,536
  5. Step 5: Solve for x
    x = 75,765,865,536/126,207
  6. Step 6: Final answer
    x = 600,330.14

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.