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Finding the Third Proportional to 182,069.25 and 397,490.25

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Solution

The third proportional to 182,069.25 and 397,490.25 is: 867,793.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,069.25 : 397,490.25 = 397,490.25 : x
  2. Step 2: Convert to fraction form
    182,069.25/397,490.25 = 397,490.25/x
  3. Step 3: Cross multiply
    182,069.25x = 397,490.25 × 397,490.25
  4. Step 4: Simplify right side
    182,069.25x = 157,998,498,845.06
  5. Step 5: Solve for x
    x = 157,998,498,845.06/182,069.25
  6. Step 6: Final answer
    x = 867,793.43

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