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Finding the Third Proportional to 122,289.75 and 267,738.75

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Solution

The third proportional to 122,289.75 and 267,738.75 is: 586,181.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,289.75 : 267,738.75 = 267,738.75 : x
  2. Step 2: Convert to fraction form
    122,289.75/267,738.75 = 267,738.75/x
  3. Step 3: Cross multiply
    122,289.75x = 267,738.75 × 267,738.75
  4. Step 4: Simplify right side
    122,289.75x = 71,684,038,251.56
  5. Step 5: Solve for x
    x = 71,684,038,251.56/122,289.75
  6. Step 6: Final answer
    x = 586,181.90

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