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Finding the Third Proportional to 163.88 and 216.69

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Solution

The third proportional to 163.88 and 216.69 is: 286.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.88 : 216.69 = 216.69 : x
  2. Step 2: Convert to fraction form
    163.88/216.69 = 216.69/x
  3. Step 3: Cross multiply
    163.88x = 216.69 × 216.69
  4. Step 4: Simplify right side
    163.88x = 46,953.47
  5. Step 5: Solve for x
    x = 46,953.47/163.88
  6. Step 6: Final answer
    x = 286.52

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.