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Finding the Third Proportional to 169,401 and 368,325

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Solution

The third proportional to 169,401 and 368,325 is: 800,841.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,401 : 368,325 = 368,325 : x
  2. Step 2: Convert to fraction form
    169,401/368,325 = 368,325/x
  3. Step 3: Cross multiply
    169,401x = 368,325 × 368,325
  4. Step 4: Simplify right side
    169,401x = 135,663,305,625
  5. Step 5: Solve for x
    x = 135,663,305,625/169,401
  6. Step 6: Final answer
    x = 800,841.23

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.