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Finding the Third Proportional to 174,180 and 269,198

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Solution

The third proportional to 174,180 and 269,198 is: 416,049.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,180 : 269,198 = 269,198 : x
  2. Step 2: Convert to fraction form
    174,180/269,198 = 269,198/x
  3. Step 3: Cross multiply
    174,180x = 269,198 × 269,198
  4. Step 4: Simplify right side
    174,180x = 72,467,563,204
  5. Step 5: Solve for x
    x = 72,467,563,204/174,180
  6. Step 6: Final answer
    x = 416,049.85

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.