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Finding the Third Proportional to 166,788 and 340,368

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Solution

The third proportional to 166,788 and 340,368 is: 694,596.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,788 : 340,368 = 340,368 : x
  2. Step 2: Convert to fraction form
    166,788/340,368 = 340,368/x
  3. Step 3: Cross multiply
    166,788x = 340,368 × 340,368
  4. Step 4: Simplify right side
    166,788x = 115,850,375,424
  5. Step 5: Solve for x
    x = 115,850,375,424/166,788
  6. Step 6: Final answer
    x = 694,596.59

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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.