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Finding the Third Proportional to 122,173 and 269,198

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Solution

The third proportional to 122,173 and 269,198 is: 593,155.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,173 : 269,198 = 269,198 : x
  2. Step 2: Convert to fraction form
    122,173/269,198 = 269,198/x
  3. Step 3: Cross multiply
    122,173x = 269,198 × 269,198
  4. Step 4: Simplify right side
    122,173x = 72,467,563,204
  5. Step 5: Solve for x
    x = 72,467,563,204/122,173
  6. Step 6: Final answer
    x = 593,155.31

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Why These Related Problems?

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