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Finding the Third Proportional to 108.23 and 198.84

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Solution

The third proportional to 108.23 and 198.84 is: 365.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.23 : 198.84 = 198.84 : x
  2. Step 2: Convert to fraction form
    108.23/198.84 = 198.84/x
  3. Step 3: Cross multiply
    108.23x = 198.84 × 198.84
  4. Step 4: Simplify right side
    108.23x = 39,538.84
  5. Step 5: Solve for x
    x = 39,538.84/108.23
  6. Step 6: Final answer
    x = 365.31

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Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.