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Finding the Third Proportional to 186.98 and 267.66

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Solution

The third proportional to 186.98 and 267.66 is: 383.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.98 : 267.66 = 267.66 : x
  2. Step 2: Convert to fraction form
    186.98/267.66 = 267.66/x
  3. Step 3: Cross multiply
    186.98x = 267.66 × 267.66
  4. Step 4: Simplify right side
    186.98x = 71,639.87
  5. Step 5: Solve for x
    x = 71,639.87/186.98
  6. Step 6: Final answer
    x = 383.13

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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.