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Finding the Third Proportional to 119,745 and 199,567

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Solution

The third proportional to 119,745 and 199,567 is: 332,598.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,745 : 199,567 = 199,567 : x
  2. Step 2: Convert to fraction form
    119,745/199,567 = 199,567/x
  3. Step 3: Cross multiply
    119,745x = 199,567 × 199,567
  4. Step 4: Simplify right side
    119,745x = 39,826,987,489
  5. Step 5: Solve for x
    x = 39,826,987,489/119,745
  6. Step 6: Final answer
    x = 332,598.33

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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.