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Finding the Third Proportional to 192,157 and 288,849

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Solution

The third proportional to 192,157 and 288,849 is: 434,195.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,157 : 288,849 = 288,849 : x
  2. Step 2: Convert to fraction form
    192,157/288,849 = 288,849/x
  3. Step 3: Cross multiply
    192,157x = 288,849 × 288,849
  4. Step 4: Simplify right side
    192,157x = 83,433,744,801
  5. Step 5: Solve for x
    x = 83,433,744,801/192,157
  6. Step 6: Final answer
    x = 434,195.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.