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Finding the Third Proportional to 186,796 and 399,834

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Solution

The third proportional to 186,796 and 399,834 is: 855,838.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,796 : 399,834 = 399,834 : x
  2. Step 2: Convert to fraction form
    186,796/399,834 = 399,834/x
  3. Step 3: Cross multiply
    186,796x = 399,834 × 399,834
  4. Step 4: Simplify right side
    186,796x = 159,867,227,556
  5. Step 5: Solve for x
    x = 159,867,227,556/186,796
  6. Step 6: Final answer
    x = 855,838.60

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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.