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Finding the Third Proportional to 81,778.50 and 168,660

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Solution

The third proportional to 81,778.50 and 168,660 is: 347,844.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,778.50 : 168,660 = 168,660 : x
  2. Step 2: Convert to fraction form
    81,778.50/168,660 = 168,660/x
  3. Step 3: Cross multiply
    81,778.50x = 168,660 × 168,660
  4. Step 4: Simplify right side
    81,778.50x = 28,446,195,600
  5. Step 5: Solve for x
    x = 28,446,195,600/81,778.50
  6. Step 6: Final answer
    x = 347,844.43

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.