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Finding the Third Proportional to 194,451 and 419,250

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Solution

The third proportional to 194,451 and 419,250 is: 903,932.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,451 : 419,250 = 419,250 : x
  2. Step 2: Convert to fraction form
    194,451/419,250 = 419,250/x
  3. Step 3: Cross multiply
    194,451x = 419,250 × 419,250
  4. Step 4: Simplify right side
    194,451x = 175,770,562,500
  5. Step 5: Solve for x
    x = 175,770,562,500/194,451
  6. Step 6: Final answer
    x = 903,932.42

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.