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Finding the Third Proportional to 84,339 and 181,183

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Solution

The third proportional to 84,339 and 181,183 is: 389,230.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,339 : 181,183 = 181,183 : x
  2. Step 2: Convert to fraction form
    84,339/181,183 = 181,183/x
  3. Step 3: Cross multiply
    84,339x = 181,183 × 181,183
  4. Step 4: Simplify right side
    84,339x = 32,827,279,489
  5. Step 5: Solve for x
    x = 32,827,279,489/84,339
  6. Step 6: Final answer
    x = 389,230.12

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.