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Finding the Third Proportional to 181,369.13 and 394,996.50

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Solution

The third proportional to 181,369.13 and 394,996.50 is: 860,246.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,369.13 : 394,996.50 = 394,996.50 : x
  2. Step 2: Convert to fraction form
    181,369.13/394,996.50 = 394,996.50/x
  3. Step 3: Cross multiply
    181,369.13x = 394,996.50 × 394,996.50
  4. Step 4: Simplify right side
    181,369.13x = 156,022,235,012.25
  5. Step 5: Solve for x
    x = 156,022,235,012.25/181,369.13
  6. Step 6: Final answer
    x = 860,246.94

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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.