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Finding the Third Proportional to 269,887.50 and 396,072.75

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Solution

The third proportional to 269,887.50 and 396,072.75 is: 581,255.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,887.50 : 396,072.75 = 396,072.75 : x
  2. Step 2: Convert to fraction form
    269,887.50/396,072.75 = 396,072.75/x
  3. Step 3: Cross multiply
    269,887.50x = 396,072.75 × 396,072.75
  4. Step 4: Simplify right side
    269,887.50x = 156,873,623,292.56
  5. Step 5: Solve for x
    x = 156,873,623,292.56/269,887.50
  6. Step 6: Final answer
    x = 581,255.61

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.