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Finding the Third Proportional to 118.41 and 267.19

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Solution

The third proportional to 118.41 and 267.19 is: 602.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.41 : 267.19 = 267.19 : x
  2. Step 2: Convert to fraction form
    118.41/267.19 = 267.19/x
  3. Step 3: Cross multiply
    118.41x = 267.19 × 267.19
  4. Step 4: Simplify right side
    118.41x = 71,389.16
  5. Step 5: Solve for x
    x = 71,389.16/118.41
  6. Step 6: Final answer
    x = 602.92

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.