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Finding the Third Proportional to 65.67 and 164.18

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Solution

The third proportional to 65.67 and 164.18 is: 410.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.67 : 164.18 = 164.18 : x
  2. Step 2: Convert to fraction form
    65.67/164.18 = 164.18/x
  3. Step 3: Cross multiply
    65.67x = 164.18 × 164.18
  4. Step 4: Simplify right side
    65.67x = 26,954.97
  5. Step 5: Solve for x
    x = 26,954.97/65.67
  6. Step 6: Final answer
    x = 410.45

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Why These Related Problems?

These problems maintain the same ratio (2.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.