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Finding the Third Proportional to 165.38 and 224.44

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Solution

The third proportional to 165.38 and 224.44 is: 304.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.38 : 224.44 = 224.44 : x
  2. Step 2: Convert to fraction form
    165.38/224.44 = 224.44/x
  3. Step 3: Cross multiply
    165.38x = 224.44 × 224.44
  4. Step 4: Simplify right side
    165.38x = 50,372.19
  5. Step 5: Solve for x
    x = 50,372.19/165.38
  6. Step 6: Final answer
    x = 304.59

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.