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Finding the Third Proportional to 122,328 and 267,968

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Solution

The third proportional to 122,328 and 267,968 is: 587,002.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,328 : 267,968 = 267,968 : x
  2. Step 2: Convert to fraction form
    122,328/267,968 = 267,968/x
  3. Step 3: Cross multiply
    122,328x = 267,968 × 267,968
  4. Step 4: Simplify right side
    122,328x = 71,806,849,024
  5. Step 5: Solve for x
    x = 71,806,849,024/122,328
  6. Step 6: Final answer
    x = 587,002.56

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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.