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Finding the Third Proportional to 126,708 and 275,322

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Solution

The third proportional to 126,708 and 275,322 is: 598,243.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,708 : 275,322 = 275,322 : x
  2. Step 2: Convert to fraction form
    126,708/275,322 = 275,322/x
  3. Step 3: Cross multiply
    126,708x = 275,322 × 275,322
  4. Step 4: Simplify right side
    126,708x = 75,802,203,684
  5. Step 5: Solve for x
    x = 75,802,203,684/126,708
  6. Step 6: Final answer
    x = 598,243.23

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.