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Finding the Third Proportional to 165,548.25 and 220,164.75

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Solution

The third proportional to 165,548.25 and 220,164.75 is: 292,799.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,548.25 : 220,164.75 = 220,164.75 : x
  2. Step 2: Convert to fraction form
    165,548.25/220,164.75 = 220,164.75/x
  3. Step 3: Cross multiply
    165,548.25x = 220,164.75 × 220,164.75
  4. Step 4: Simplify right side
    165,548.25x = 48,472,517,142.56
  5. Step 5: Solve for x
    x = 48,472,517,142.56/165,548.25
  6. Step 6: Final answer
    x = 292,799.94

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.