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Finding the Third Proportional to 122,184 and 269,220

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Solution

The third proportional to 122,184 and 269,220 is: 593,198.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,184 : 269,220 = 269,220 : x
  2. Step 2: Convert to fraction form
    122,184/269,220 = 269,220/x
  3. Step 3: Cross multiply
    122,184x = 269,220 × 269,220
  4. Step 4: Simplify right side
    122,184x = 72,479,408,400
  5. Step 5: Solve for x
    x = 72,479,408,400/122,184
  6. Step 6: Final answer
    x = 593,198.85

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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.