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Finding the Third Proportional to 168.33 and 367.98

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Solution

The third proportional to 168.33 and 367.98 is: 804.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.33 : 367.98 = 367.98 : x
  2. Step 2: Convert to fraction form
    168.33/367.98 = 367.98/x
  3. Step 3: Cross multiply
    168.33x = 367.98 × 367.98
  4. Step 4: Simplify right side
    168.33x = 135,409.63
  5. Step 5: Solve for x
    x = 135,409.63/168.33
  6. Step 6: Final answer
    x = 804.44

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.