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Finding the Third Proportional to 181,135.50 and 397,951.50

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Solution

The third proportional to 181,135.50 and 397,951.50 is: 874,292.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,135.50 : 397,951.50 = 397,951.50 : x
  2. Step 2: Convert to fraction form
    181,135.50/397,951.50 = 397,951.50/x
  3. Step 3: Cross multiply
    181,135.50x = 397,951.50 × 397,951.50
  4. Step 4: Simplify right side
    181,135.50x = 158,365,396,352.25
  5. Step 5: Solve for x
    x = 158,365,396,352.25/181,135.50
  6. Step 6: Final answer
    x = 874,292.43

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.