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Finding the Third Proportional to 162 and 336.66

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Solution

The third proportional to 162 and 336.66 is: 699.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    162 : 336.66 = 336.66 : x
  2. Step 2: Convert to fraction form
    162/336.66 = 336.66/x
  3. Step 3: Cross multiply
    162x = 336.66 × 336.66
  4. Step 4: Simplify right side
    162x = 113,337.43
  5. Step 5: Solve for x
    x = 113,337.43/162
  6. Step 6: Final answer
    x = 699.61

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.