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Finding the Third Proportional to 188,884 and 261,794

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Solution

The third proportional to 188,884 and 261,794 is: 362,847.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,884 : 261,794 = 261,794 : x
  2. Step 2: Convert to fraction form
    188,884/261,794 = 261,794/x
  3. Step 3: Cross multiply
    188,884x = 261,794 × 261,794
  4. Step 4: Simplify right side
    188,884x = 68,536,098,436
  5. Step 5: Solve for x
    x = 68,536,098,436/188,884
  6. Step 6: Final answer
    x = 362,847.56

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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.