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Finding the Third Proportional to 122,400 and 268,096

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Solution

The third proportional to 122,400 and 268,096 is: 587,217.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,400 : 268,096 = 268,096 : x
  2. Step 2: Convert to fraction form
    122,400/268,096 = 268,096/x
  3. Step 3: Cross multiply
    122,400x = 268,096 × 268,096
  4. Step 4: Simplify right side
    122,400x = 71,875,465,216
  5. Step 5: Solve for x
    x = 71,875,465,216/122,400
  6. Step 6: Final answer
    x = 587,217.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.