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Finding the Third Proportional to 166,772 and 340,336

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Solution

The third proportional to 166,772 and 340,336 is: 694,532.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,772 : 340,336 = 340,336 : x
  2. Step 2: Convert to fraction form
    166,772/340,336 = 340,336/x
  3. Step 3: Cross multiply
    166,772x = 340,336 × 340,336
  4. Step 4: Simplify right side
    166,772x = 115,828,592,896
  5. Step 5: Solve for x
    x = 115,828,592,896/166,772
  6. Step 6: Final answer
    x = 694,532.61

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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.