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Finding the Third Proportional to 188,568 and 267,300

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Solution

The third proportional to 188,568 and 267,300 is: 378,904.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,568 : 267,300 = 267,300 : x
  2. Step 2: Convert to fraction form
    188,568/267,300 = 267,300/x
  3. Step 3: Cross multiply
    188,568x = 267,300 × 267,300
  4. Step 4: Simplify right side
    188,568x = 71,449,290,000
  5. Step 5: Solve for x
    x = 71,449,290,000/188,568
  6. Step 6: Final answer
    x = 378,904.64

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.