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Finding the Third Proportional to 126,194.25 and 269,898

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Solution

The third proportional to 126,194.25 and 269,898 is: 577,244.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,194.25 : 269,898 = 269,898 : x
  2. Step 2: Convert to fraction form
    126,194.25/269,898 = 269,898/x
  3. Step 3: Cross multiply
    126,194.25x = 269,898 × 269,898
  4. Step 4: Simplify right side
    126,194.25x = 72,844,930,404
  5. Step 5: Solve for x
    x = 72,844,930,404/126,194.25
  6. Step 6: Final answer
    x = 577,244.45

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.