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Finding the Third Proportional to 122,411 and 267,286

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Solution

The third proportional to 122,411 and 267,286 is: 583,622.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,411 : 267,286 = 267,286 : x
  2. Step 2: Convert to fraction form
    122,411/267,286 = 267,286/x
  3. Step 3: Cross multiply
    122,411x = 267,286 × 267,286
  4. Step 4: Simplify right side
    122,411x = 71,441,805,796
  5. Step 5: Solve for x
    x = 71,441,805,796/122,411
  6. Step 6: Final answer
    x = 583,622.43

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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.