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Finding the Third Proportional to 165.94 and 233.16

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Solution

The third proportional to 165.94 and 233.16 is: 327.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.94 : 233.16 = 233.16 : x
  2. Step 2: Convert to fraction form
    165.94/233.16 = 233.16/x
  3. Step 3: Cross multiply
    165.94x = 233.16 × 233.16
  4. Step 4: Simplify right side
    165.94x = 54,361.84
  5. Step 5: Solve for x
    x = 54,361.84/165.94
  6. Step 6: Final answer
    x = 327.60

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.