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Finding the Third Proportional to 164 and 338

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Solution

The third proportional to 164 and 338 is: 696.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    164 : 338 = 338 : x
  2. Step 2: Convert to fraction form
    164/338 = 338/x
  3. Step 3: Cross multiply
    164x = 338 × 338
  4. Step 4: Simplify right side
    164x = 114,244
  5. Step 5: Solve for x
    x = 114,244/164
  6. Step 6: Final answer
    x = 696.61

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.