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Finding the Third Proportional to 181,569 and 399,183

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Solution

The third proportional to 181,569 and 399,183 is: 877,611.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,569 : 399,183 = 399,183 : x
  2. Step 2: Convert to fraction form
    181,569/399,183 = 399,183/x
  3. Step 3: Cross multiply
    181,569x = 399,183 × 399,183
  4. Step 4: Simplify right side
    181,569x = 159,347,067,489
  5. Step 5: Solve for x
    x = 159,347,067,489/181,569
  6. Step 6: Final answer
    x = 877,611.64

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.