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Finding the Third Proportional to 181,930 and 372,868

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Solution

The third proportional to 181,930 and 372,868 is: 764,198.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,930 : 372,868 = 372,868 : x
  2. Step 2: Convert to fraction form
    181,930/372,868 = 372,868/x
  3. Step 3: Cross multiply
    181,930x = 372,868 × 372,868
  4. Step 4: Simplify right side
    181,930x = 139,030,545,424
  5. Step 5: Solve for x
    x = 139,030,545,424/181,930
  6. Step 6: Final answer
    x = 764,198.02

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.