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Finding the Third Proportional to 193,243.50 and 267,019.50

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Solution

The third proportional to 193,243.50 and 267,019.50 is: 368,961.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,243.50 : 267,019.50 = 267,019.50 : x
  2. Step 2: Convert to fraction form
    193,243.50/267,019.50 = 267,019.50/x
  3. Step 3: Cross multiply
    193,243.50x = 267,019.50 × 267,019.50
  4. Step 4: Simplify right side
    193,243.50x = 71,299,413,380.25
  5. Step 5: Solve for x
    x = 71,299,413,380.25/193,243.50
  6. Step 6: Final answer
    x = 368,961.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.