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Finding the Third Proportional to 267,662.25 and 394,095.38

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Solution

The third proportional to 267,662.25 and 394,095.38 is: 580,250.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,662.25 : 394,095.38 = 394,095.38 : x
  2. Step 2: Convert to fraction form
    267,662.25/394,095.38 = 394,095.38/x
  3. Step 3: Cross multiply
    267,662.25x = 394,095.38 × 394,095.38
  4. Step 4: Simplify right side
    267,662.25x = 155,311,164,596.39
  5. Step 5: Solve for x
    x = 155,311,164,596.39/267,662.25
  6. Step 6: Final answer
    x = 580,250.54

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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.