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Finding the Third Proportional to 181,530 and 394,103.25

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Solution

The third proportional to 181,530 and 394,103.25 is: 855,601.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,530 : 394,103.25 = 394,103.25 : x
  2. Step 2: Convert to fraction form
    181,530/394,103.25 = 394,103.25/x
  3. Step 3: Cross multiply
    181,530x = 394,103.25 × 394,103.25
  4. Step 4: Simplify right side
    181,530x = 155,317,371,660.56
  5. Step 5: Solve for x
    x = 155,317,371,660.56/181,530
  6. Step 6: Final answer
    x = 855,601.67

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