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Finding the Third Proportional to 194,812 and 419,972

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Solution

The third proportional to 194,812 and 419,972 is: 905,367.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,812 : 419,972 = 419,972 : x
  2. Step 2: Convert to fraction form
    194,812/419,972 = 419,972/x
  3. Step 3: Cross multiply
    194,812x = 419,972 × 419,972
  4. Step 4: Simplify right side
    194,812x = 176,376,480,784
  5. Step 5: Solve for x
    x = 176,376,480,784/194,812
  6. Step 6: Final answer
    x = 905,367.64

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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.