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Finding the Third Proportional to 169,346 and 367,204

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Solution

The third proportional to 169,346 and 367,204 is: 796,232.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,346 : 367,204 = 367,204 : x
  2. Step 2: Convert to fraction form
    169,346/367,204 = 367,204/x
  3. Step 3: Cross multiply
    169,346x = 367,204 × 367,204
  4. Step 4: Simplify right side
    169,346x = 134,838,777,616
  5. Step 5: Solve for x
    x = 134,838,777,616/169,346
  6. Step 6: Final answer
    x = 796,232.43

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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.