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Finding the Third Proportional to 122,997 and 267,318

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Solution

The third proportional to 122,997 and 267,318 is: 580,980.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,997 : 267,318 = 267,318 : x
  2. Step 2: Convert to fraction form
    122,997/267,318 = 267,318/x
  3. Step 3: Cross multiply
    122,997x = 267,318 × 267,318
  4. Step 4: Simplify right side
    122,997x = 71,458,913,124
  5. Step 5: Solve for x
    x = 71,458,913,124/122,997
  6. Step 6: Final answer
    x = 580,980.94

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.