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Finding the Third Proportional to 163.69 and 236.53

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Solution

The third proportional to 163.69 and 236.53 is: 341.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.69 : 236.53 = 236.53 : x
  2. Step 2: Convert to fraction form
    163.69/236.53 = 236.53/x
  3. Step 3: Cross multiply
    163.69x = 236.53 × 236.53
  4. Step 4: Simplify right side
    163.69x = 55,947.03
  5. Step 5: Solve for x
    x = 55,947.03/163.69
  6. Step 6: Final answer
    x = 341.79

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.