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Finding the Third Proportional to 187.13 and 267.19

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Solution

The third proportional to 187.13 and 267.19 is: 381.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.13 : 267.19 = 267.19 : x
  2. Step 2: Convert to fraction form
    187.13/267.19 = 267.19/x
  3. Step 3: Cross multiply
    187.13x = 267.19 × 267.19
  4. Step 4: Simplify right side
    187.13x = 71,389.16
  5. Step 5: Solve for x
    x = 71,389.16/187.13
  6. Step 6: Final answer
    x = 381.51

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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.