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Finding the Third Proportional to 126,716 and 275,336

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Solution

The third proportional to 126,716 and 275,336 is: 598,266.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,716 : 275,336 = 275,336 : x
  2. Step 2: Convert to fraction form
    126,716/275,336 = 275,336/x
  3. Step 3: Cross multiply
    126,716x = 275,336 × 275,336
  4. Step 4: Simplify right side
    126,716x = 75,809,912,896
  5. Step 5: Solve for x
    x = 75,809,912,896/126,716
  6. Step 6: Final answer
    x = 598,266.30

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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.