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Finding the Third Proportional to 122,401 and 267,266

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Solution

The third proportional to 122,401 and 267,266 is: 583,582.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,401 : 267,266 = 267,266 : x
  2. Step 2: Convert to fraction form
    122,401/267,266 = 267,266/x
  3. Step 3: Cross multiply
    122,401x = 267,266 × 267,266
  4. Step 4: Simplify right side
    122,401x = 71,431,114,756
  5. Step 5: Solve for x
    x = 71,431,114,756/122,401
  6. Step 6: Final answer
    x = 583,582.77

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.