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Finding the Third Proportional to 165.16 and 234.93

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Solution

The third proportional to 165.16 and 234.93 is: 334.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.16 : 234.93 = 234.93 : x
  2. Step 2: Convert to fraction form
    165.16/234.93 = 234.93/x
  3. Step 3: Cross multiply
    165.16x = 234.93 × 234.93
  4. Step 4: Simplify right side
    165.16x = 55,192.88
  5. Step 5: Solve for x
    x = 55,192.88/165.16
  6. Step 6: Final answer
    x = 334.17

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.