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Finding the Third Proportional to 181,954.69 and 394,836.19

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Solution

The third proportional to 181,954.69 and 394,836.19 is: 856,782.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,954.69 : 394,836.19 = 394,836.19 : x
  2. Step 2: Convert to fraction form
    181,954.69/394,836.19 = 394,836.19/x
  3. Step 3: Cross multiply
    181,954.69x = 394,836.19 × 394,836.19
  4. Step 4: Simplify right side
    181,954.69x = 155,895,614,959.54
  5. Step 5: Solve for x
    x = 155,895,614,959.54/181,954.69
  6. Step 6: Final answer
    x = 856,782.63

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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.