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Finding the Third Proportional to 188,899 and 261,811

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Solution

The third proportional to 188,899 and 261,811 is: 362,865.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,899 : 261,811 = 261,811 : x
  2. Step 2: Convert to fraction form
    188,899/261,811 = 261,811/x
  3. Step 3: Cross multiply
    188,899x = 261,811 × 261,811
  4. Step 4: Simplify right side
    188,899x = 68,544,999,721
  5. Step 5: Solve for x
    x = 68,544,999,721/188,899
  6. Step 6: Final answer
    x = 362,865.87

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.