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Finding the Third Proportional to 194,103 and 399,870

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Solution

The third proportional to 194,103 and 399,870 is: 823,768.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,103 : 399,870 = 399,870 : x
  2. Step 2: Convert to fraction form
    194,103/399,870 = 399,870/x
  3. Step 3: Cross multiply
    194,103x = 399,870 × 399,870
  4. Step 4: Simplify right side
    194,103x = 159,896,016,900
  5. Step 5: Solve for x
    x = 159,896,016,900/194,103
  6. Step 6: Final answer
    x = 823,768.91

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.