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Finding the Third Proportional to 181,006 and 397,698

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Solution

The third proportional to 181,006 and 397,698 is: 873,803.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,006 : 397,698 = 397,698 : x
  2. Step 2: Convert to fraction form
    181,006/397,698 = 397,698/x
  3. Step 3: Cross multiply
    181,006x = 397,698 × 397,698
  4. Step 4: Simplify right side
    181,006x = 158,163,699,204
  5. Step 5: Solve for x
    x = 158,163,699,204/181,006
  6. Step 6: Final answer
    x = 873,803.63

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