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Finding the Third Proportional to 122,295.75 and 267,008.25

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Solution

The third proportional to 122,295.75 and 267,008.25 is: 582,958.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,295.75 : 267,008.25 = 267,008.25 : x
  2. Step 2: Convert to fraction form
    122,295.75/267,008.25 = 267,008.25/x
  3. Step 3: Cross multiply
    122,295.75x = 267,008.25 × 267,008.25
  4. Step 4: Simplify right side
    122,295.75x = 71,293,405,568.06
  5. Step 5: Solve for x
    x = 71,293,405,568.06/122,295.75
  6. Step 6: Final answer
    x = 582,958.98

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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.