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Finding the Third Proportional to 194,562 and 419,121

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Solution

The third proportional to 194,562 and 419,121 is: 902,860.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,562 : 419,121 = 419,121 : x
  2. Step 2: Convert to fraction form
    194,562/419,121 = 419,121/x
  3. Step 3: Cross multiply
    194,562x = 419,121 × 419,121
  4. Step 4: Simplify right side
    194,562x = 175,662,412,641
  5. Step 5: Solve for x
    x = 175,662,412,641/194,562
  6. Step 6: Final answer
    x = 902,860.85

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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.