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Finding the Third Proportional to 194,649 and 419,286

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Solution

The third proportional to 194,649 and 419,286 is: 903,168.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,649 : 419,286 = 419,286 : x
  2. Step 2: Convert to fraction form
    194,649/419,286 = 419,286/x
  3. Step 3: Cross multiply
    194,649x = 419,286 × 419,286
  4. Step 4: Simplify right side
    194,649x = 175,800,749,796
  5. Step 5: Solve for x
    x = 175,800,749,796/194,649
  6. Step 6: Final answer
    x = 903,168.01

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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.