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Finding the Third Proportional to 186,812 and 399,866

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Solution

The third proportional to 186,812 and 399,866 is: 855,902.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,812 : 399,866 = 399,866 : x
  2. Step 2: Convert to fraction form
    186,812/399,866 = 399,866/x
  3. Step 3: Cross multiply
    186,812x = 399,866 × 399,866
  4. Step 4: Simplify right side
    186,812x = 159,892,817,956
  5. Step 5: Solve for x
    x = 159,892,817,956/186,812
  6. Step 6: Final answer
    x = 855,902.29

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.