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Finding the Third Proportional to 267,663.50 and 394,100.50

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Solution

The third proportional to 267,663.50 and 394,100.50 is: 580,262.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,663.50 : 394,100.50 = 394,100.50 : x
  2. Step 2: Convert to fraction form
    267,663.50/394,100.50 = 394,100.50/x
  3. Step 3: Cross multiply
    267,663.50x = 394,100.50 × 394,100.50
  4. Step 4: Simplify right side
    267,663.50x = 155,315,204,100.25
  5. Step 5: Solve for x
    x = 155,315,204,100.25/267,663.50
  6. Step 6: Final answer
    x = 580,262.92

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