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Finding the Third Proportional to 118,976 and 267,912

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Solution

The third proportional to 118,976 and 267,912 is: 603,288.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,976 : 267,912 = 267,912 : x
  2. Step 2: Convert to fraction form
    118,976/267,912 = 267,912/x
  3. Step 3: Cross multiply
    118,976x = 267,912 × 267,912
  4. Step 4: Simplify right side
    118,976x = 71,776,839,744
  5. Step 5: Solve for x
    x = 71,776,839,744/118,976
  6. Step 6: Final answer
    x = 603,288.39

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.