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Finding the Third Proportional to 119,744 and 199,565

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Solution

The third proportional to 119,744 and 199,565 is: 332,594.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,744 : 199,565 = 199,565 : x
  2. Step 2: Convert to fraction form
    119,744/199,565 = 199,565/x
  3. Step 3: Cross multiply
    119,744x = 199,565 × 199,565
  4. Step 4: Simplify right side
    119,744x = 39,826,189,225
  5. Step 5: Solve for x
    x = 39,826,189,225/119,744
  6. Step 6: Final answer
    x = 332,594.45

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.