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Finding the Third Proportional to 179,616.38 and 269,450.44

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Solution

The third proportional to 179,616.38 and 269,450.44 is: 404,214.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,616.38 : 269,450.44 = 269,450.44 : x
  2. Step 2: Convert to fraction form
    179,616.38/269,450.44 = 269,450.44/x
  3. Step 3: Cross multiply
    179,616.38x = 269,450.44 × 269,450.44
  4. Step 4: Simplify right side
    179,616.38x = 72,603,538,268.94
  5. Step 5: Solve for x
    x = 72,603,538,268.94/179,616.38
  6. Step 6: Final answer
    x = 404,214.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.