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Finding the Third Proportional to 164 and 212

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Solution

The third proportional to 164 and 212 is: 274.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    164 : 212 = 212 : x
  2. Step 2: Convert to fraction form
    164/212 = 212/x
  3. Step 3: Cross multiply
    164x = 212 × 212
  4. Step 4: Simplify right side
    164x = 44,944
  5. Step 5: Solve for x
    x = 44,944/164
  6. Step 6: Final answer
    x = 274.05

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Why These Related Problems?

These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.