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Finding the Third Proportional to 119,786 and 199,650

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Solution

The third proportional to 119,786 and 199,650 is: 332,761.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,786 : 199,650 = 199,650 : x
  2. Step 2: Convert to fraction form
    119,786/199,650 = 199,650/x
  3. Step 3: Cross multiply
    119,786x = 199,650 × 199,650
  4. Step 4: Simplify right side
    119,786x = 39,860,122,500
  5. Step 5: Solve for x
    x = 39,860,122,500/119,786
  6. Step 6: Final answer
    x = 332,761.11

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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.