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Finding the Third Proportional to 162.84 and 211.22

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Solution

The third proportional to 162.84 and 211.22 is: 273.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.84 : 211.22 = 211.22 : x
  2. Step 2: Convert to fraction form
    162.84/211.22 = 211.22/x
  3. Step 3: Cross multiply
    162.84x = 211.22 × 211.22
  4. Step 4: Simplify right side
    162.84x = 44,613.36
  5. Step 5: Solve for x
    x = 44,613.36/162.84
  6. Step 6: Final answer
    x = 273.96

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.