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Finding the Third Proportional to 166,787 and 340,366

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Solution

The third proportional to 166,787 and 340,366 is: 694,592.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,787 : 340,366 = 340,366 : x
  2. Step 2: Convert to fraction form
    166,787/340,366 = 340,366/x
  3. Step 3: Cross multiply
    166,787x = 340,366 × 340,366
  4. Step 4: Simplify right side
    166,787x = 115,849,013,956
  5. Step 5: Solve for x
    x = 115,849,013,956/166,787
  6. Step 6: Final answer
    x = 694,592.59

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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.