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Finding the Third Proportional to 122,863.50 and 267,961.50

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Solution

The third proportional to 122,863.50 and 267,961.50 is: 584,415.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,863.50 : 267,961.50 = 267,961.50 : x
  2. Step 2: Convert to fraction form
    122,863.50/267,961.50 = 267,961.50/x
  3. Step 3: Cross multiply
    122,863.50x = 267,961.50 × 267,961.50
  4. Step 4: Simplify right side
    122,863.50x = 71,803,365,482.25
  5. Step 5: Solve for x
    x = 71,803,365,482.25/122,863.50
  6. Step 6: Final answer
    x = 584,415.76

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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.