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Finding the Third Proportional to 126,255.38 and 270,021.94

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Solution

The third proportional to 126,255.38 and 270,021.94 is: 577,494.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,255.38 : 270,021.94 = 270,021.94 : x
  2. Step 2: Convert to fraction form
    126,255.38/270,021.94 = 270,021.94/x
  3. Step 3: Cross multiply
    126,255.38x = 270,021.94 × 270,021.94
  4. Step 4: Simplify right side
    126,255.38x = 72,911,846,731.25
  5. Step 5: Solve for x
    x = 72,911,846,731.25/126,255.38
  6. Step 6: Final answer
    x = 577,494.99

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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.