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Finding the Third Proportional to 181,352.25 and 394,821

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Solution

The third proportional to 181,352.25 and 394,821 is: 859,562.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,352.25 : 394,821 = 394,821 : x
  2. Step 2: Convert to fraction form
    181,352.25/394,821 = 394,821/x
  3. Step 3: Cross multiply
    181,352.25x = 394,821 × 394,821
  4. Step 4: Simplify right side
    181,352.25x = 155,883,622,041
  5. Step 5: Solve for x
    x = 155,883,622,041/181,352.25
  6. Step 6: Final answer
    x = 859,562.66

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.