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Finding the Third Proportional to 168,401 and 361,588

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Solution

The third proportional to 168,401 and 361,588 is: 776,396.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,401 : 361,588 = 361,588 : x
  2. Step 2: Convert to fraction form
    168,401/361,588 = 361,588/x
  3. Step 3: Cross multiply
    168,401x = 361,588 × 361,588
  4. Step 4: Simplify right side
    168,401x = 130,745,881,744
  5. Step 5: Solve for x
    x = 130,745,881,744/168,401
  6. Step 6: Final answer
    x = 776,396.11

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.