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Finding the Third Proportional to 166,796 and 340,384

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Solution

The third proportional to 166,796 and 340,384 is: 694,628.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,796 : 340,384 = 340,384 : x
  2. Step 2: Convert to fraction form
    166,796/340,384 = 340,384/x
  3. Step 3: Cross multiply
    166,796x = 340,384 × 340,384
  4. Step 4: Simplify right side
    166,796x = 115,861,267,456
  5. Step 5: Solve for x
    x = 115,861,267,456/166,796
  6. Step 6: Final answer
    x = 694,628.57

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.