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Finding the Third Proportional to 164.11 and 234.14

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Solution

The third proportional to 164.11 and 234.14 is: 334.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.11 : 234.14 = 234.14 : x
  2. Step 2: Convert to fraction form
    164.11/234.14 = 234.14/x
  3. Step 3: Cross multiply
    164.11x = 234.14 × 234.14
  4. Step 4: Simplify right side
    164.11x = 54,821.83
  5. Step 5: Solve for x
    x = 54,821.83/164.11
  6. Step 6: Final answer
    x = 334.06

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.