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Finding the Third Proportional to 164.21 and 216.42

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Solution

The third proportional to 164.21 and 216.42 is: 285.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.21 : 216.42 = 216.42 : x
  2. Step 2: Convert to fraction form
    164.21/216.42 = 216.42/x
  3. Step 3: Cross multiply
    164.21x = 216.42 × 216.42
  4. Step 4: Simplify right side
    164.21x = 46,838.43
  5. Step 5: Solve for x
    x = 46,838.43/164.21
  6. Step 6: Final answer
    x = 285.23

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.