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Finding the Third Proportional to 168,223 and 355,401

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Solution

The third proportional to 168,223 and 355,401 is: 750,847.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,223 : 355,401 = 355,401 : x
  2. Step 2: Convert to fraction form
    168,223/355,401 = 355,401/x
  3. Step 3: Cross multiply
    168,223x = 355,401 × 355,401
  4. Step 4: Simplify right side
    168,223x = 126,309,870,801
  5. Step 5: Solve for x
    x = 126,309,870,801/168,223
  6. Step 6: Final answer
    x = 750,847.81

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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.