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Finding the Third Proportional to 166,785 and 340,362

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Solution

The third proportional to 166,785 and 340,362 is: 694,584.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,785 : 340,362 = 340,362 : x
  2. Step 2: Convert to fraction form
    166,785/340,362 = 340,362/x
  3. Step 3: Cross multiply
    166,785x = 340,362 × 340,362
  4. Step 4: Simplify right side
    166,785x = 115,846,291,044
  5. Step 5: Solve for x
    x = 115,846,291,044/166,785
  6. Step 6: Final answer
    x = 694,584.59

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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.