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Finding the Third Proportional to 84,296 and 181,660

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Solution

The third proportional to 84,296 and 181,660 is: 391,481.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,296 : 181,660 = 181,660 : x
  2. Step 2: Convert to fraction form
    84,296/181,660 = 181,660/x
  3. Step 3: Cross multiply
    84,296x = 181,660 × 181,660
  4. Step 4: Simplify right side
    84,296x = 33,000,355,600
  5. Step 5: Solve for x
    x = 33,000,355,600/84,296
  6. Step 6: Final answer
    x = 391,481.87

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.