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Finding the Third Proportional to 132,822 and 199,734

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Solution

The third proportional to 132,822 and 199,734 is: 300,354.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,822 : 199,734 = 199,734 : x
  2. Step 2: Convert to fraction form
    132,822/199,734 = 199,734/x
  3. Step 3: Cross multiply
    132,822x = 199,734 × 199,734
  4. Step 4: Simplify right side
    132,822x = 39,893,670,756
  5. Step 5: Solve for x
    x = 39,893,670,756/132,822
  6. Step 6: Final answer
    x = 300,354.39

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Why These Related Problems?

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