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Finding the Third Proportional to 188,542 and 263,734

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Solution

The third proportional to 188,542 and 263,734 is: 368,913.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,542 : 263,734 = 263,734 : x
  2. Step 2: Convert to fraction form
    188,542/263,734 = 263,734/x
  3. Step 3: Cross multiply
    188,542x = 263,734 × 263,734
  4. Step 4: Simplify right side
    188,542x = 69,555,622,756
  5. Step 5: Solve for x
    x = 69,555,622,756/188,542
  6. Step 6: Final answer
    x = 368,913.15

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.