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Finding the Third Proportional to 187.44 and 267.84

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Solution

The third proportional to 187.44 and 267.84 is: 382.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.44 : 267.84 = 267.84 : x
  2. Step 2: Convert to fraction form
    187.44/267.84 = 267.84/x
  3. Step 3: Cross multiply
    187.44x = 267.84 × 267.84
  4. Step 4: Simplify right side
    187.44x = 71,740.27
  5. Step 5: Solve for x
    x = 71,740.27/187.44
  6. Step 6: Final answer
    x = 382.74

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.