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Finding the Third Proportional to 181,945.13 and 394,815.38

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Solution

The third proportional to 181,945.13 and 394,815.38 is: 856,737.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,945.13 : 394,815.38 = 394,815.38 : x
  2. Step 2: Convert to fraction form
    181,945.13/394,815.38 = 394,815.38/x
  3. Step 3: Cross multiply
    181,945.13x = 394,815.38 × 394,815.38
  4. Step 4: Simplify right side
    181,945.13x = 155,879,180,336.39
  5. Step 5: Solve for x
    x = 155,879,180,336.39/181,945.13
  6. Step 6: Final answer
    x = 856,737.33

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.