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Finding the Third Proportional to 203,627.50 and 267,769.50

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Solution

The third proportional to 203,627.50 and 267,769.50 is: 352,116.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,627.50 : 267,769.50 = 267,769.50 : x
  2. Step 2: Convert to fraction form
    203,627.50/267,769.50 = 267,769.50/x
  3. Step 3: Cross multiply
    203,627.50x = 267,769.50 × 267,769.50
  4. Step 4: Simplify right side
    203,627.50x = 71,700,505,130.25
  5. Step 5: Solve for x
    x = 71,700,505,130.25/203,627.50
  6. Step 6: Final answer
    x = 352,116.02

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.