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Finding the Third Proportional to 122,998.50 and 267,319.50

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Solution

The third proportional to 122,998.50 and 267,319.50 is: 580,980.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,998.50 : 267,319.50 = 267,319.50 : x
  2. Step 2: Convert to fraction form
    122,998.50/267,319.50 = 267,319.50/x
  3. Step 3: Cross multiply
    122,998.50x = 267,319.50 × 267,319.50
  4. Step 4: Simplify right side
    122,998.50x = 71,459,715,080.25
  5. Step 5: Solve for x
    x = 71,459,715,080.25/122,998.50
  6. Step 6: Final answer
    x = 580,980.38

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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.