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Finding the Third Proportional to 80,768 and 188,660

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Solution

The third proportional to 80,768 and 188,660 is: 440,676.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,768 : 188,660 = 188,660 : x
  2. Step 2: Convert to fraction form
    80,768/188,660 = 188,660/x
  3. Step 3: Cross multiply
    80,768x = 188,660 × 188,660
  4. Step 4: Simplify right side
    80,768x = 35,592,595,600
  5. Step 5: Solve for x
    x = 35,592,595,600/80,768
  6. Step 6: Final answer
    x = 440,676.95

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.