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Finding the Third Proportional to 160,781 and 194,782

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Solution

The third proportional to 160,781 and 194,782 is: 235,973.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,781 : 194,782 = 194,782 : x
  2. Step 2: Convert to fraction form
    160,781/194,782 = 194,782/x
  3. Step 3: Cross multiply
    160,781x = 194,782 × 194,782
  4. Step 4: Simplify right side
    160,781x = 37,940,027,524
  5. Step 5: Solve for x
    x = 37,940,027,524/160,781
  6. Step 6: Final answer
    x = 235,973.33

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Why These Related Problems?

These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.