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Finding the Third Proportional to 122,299.50 and 267,015

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Solution

The third proportional to 122,299.50 and 267,015 is: 582,970.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,299.50 : 267,015 = 267,015 : x
  2. Step 2: Convert to fraction form
    122,299.50/267,015 = 267,015/x
  3. Step 3: Cross multiply
    122,299.50x = 267,015 × 267,015
  4. Step 4: Simplify right side
    122,299.50x = 71,297,010,225
  5. Step 5: Solve for x
    x = 71,297,010,225/122,299.50
  6. Step 6: Final answer
    x = 582,970.58

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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.