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Finding the Third Proportional to 170,383.50 and 263,791.69

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Solution

The third proportional to 170,383.50 and 263,791.69 is: 408,408.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,383.50 : 263,791.69 = 263,791.69 : x
  2. Step 2: Convert to fraction form
    170,383.50/263,791.69 = 263,791.69/x
  3. Step 3: Cross multiply
    170,383.50x = 263,791.69 × 263,791.69
  4. Step 4: Simplify right side
    170,383.50x = 69,586,054,394.10
  5. Step 5: Solve for x
    x = 69,586,054,394.10/170,383.50
  6. Step 6: Final answer
    x = 408,408.41

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.