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Finding the Third Proportional to 267,664.50 and 394,098.75

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Solution

The third proportional to 267,664.50 and 394,098.75 is: 580,255.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,664.50 : 394,098.75 = 394,098.75 : x
  2. Step 2: Convert to fraction form
    267,664.50/394,098.75 = 394,098.75/x
  3. Step 3: Cross multiply
    267,664.50x = 394,098.75 × 394,098.75
  4. Step 4: Simplify right side
    267,664.50x = 155,313,824,751.56
  5. Step 5: Solve for x
    x = 155,313,824,751.56/267,664.50
  6. Step 6: Final answer
    x = 580,255.60

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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.