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Finding the Third Proportional to 177,093 and 374,193

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Solution

The third proportional to 177,093 and 374,193 is: 790,660.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,093 : 374,193 = 374,193 : x
  2. Step 2: Convert to fraction form
    177,093/374,193 = 374,193/x
  3. Step 3: Cross multiply
    177,093x = 374,193 × 374,193
  4. Step 4: Simplify right side
    177,093x = 140,020,401,249
  5. Step 5: Solve for x
    x = 140,020,401,249/177,093
  6. Step 6: Final answer
    x = 790,660.28

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.