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Finding the Third Proportional to 122,400 and 267,264

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Solution

The third proportional to 122,400 and 267,264 is: 583,578.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,400 : 267,264 = 267,264 : x
  2. Step 2: Convert to fraction form
    122,400/267,264 = 267,264/x
  3. Step 3: Cross multiply
    122,400x = 267,264 × 267,264
  4. Step 4: Simplify right side
    122,400x = 71,430,045,696
  5. Step 5: Solve for x
    x = 71,430,045,696/122,400
  6. Step 6: Final answer
    x = 583,578.80

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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.