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Finding the Third Proportional to 194,652 and 418,401

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Solution

The third proportional to 194,652 and 418,401 is: 899,345.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,652 : 418,401 = 418,401 : x
  2. Step 2: Convert to fraction form
    194,652/418,401 = 418,401/x
  3. Step 3: Cross multiply
    194,652x = 418,401 × 418,401
  4. Step 4: Simplify right side
    194,652x = 175,059,396,801
  5. Step 5: Solve for x
    x = 175,059,396,801/194,652
  6. Step 6: Final answer
    x = 899,345.48

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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.