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Finding the Third Proportional to 173,729 and 379,443

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Solution

The third proportional to 173,729 and 379,443 is: 828,744.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,729 : 379,443 = 379,443 : x
  2. Step 2: Convert to fraction form
    173,729/379,443 = 379,443/x
  3. Step 3: Cross multiply
    173,729x = 379,443 × 379,443
  4. Step 4: Simplify right side
    173,729x = 143,976,990,249
  5. Step 5: Solve for x
    x = 143,976,990,249/173,729
  6. Step 6: Final answer
    x = 828,744.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.