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Finding the Third Proportional to 267,715.50 and 394,167

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Solution

The third proportional to 267,715.50 and 394,167 is: 580,346.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,715.50 : 394,167 = 394,167 : x
  2. Step 2: Convert to fraction form
    267,715.50/394,167 = 394,167/x
  3. Step 3: Cross multiply
    267,715.50x = 394,167 × 394,167
  4. Step 4: Simplify right side
    267,715.50x = 155,367,623,889
  5. Step 5: Solve for x
    x = 155,367,623,889/267,715.50
  6. Step 6: Final answer
    x = 580,346.02

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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.