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Finding the Third Proportional to 181,799 and 372,621

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Solution

The third proportional to 181,799 and 372,621 is: 763,735.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,799 : 372,621 = 372,621 : x
  2. Step 2: Convert to fraction form
    181,799/372,621 = 372,621/x
  3. Step 3: Cross multiply
    181,799x = 372,621 × 372,621
  4. Step 4: Simplify right side
    181,799x = 138,846,409,641
  5. Step 5: Solve for x
    x = 138,846,409,641/181,799
  6. Step 6: Final answer
    x = 763,735.83

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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.