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Finding the Third Proportional to 163.69 and 235.69

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Solution

The third proportional to 163.69 and 235.69 is: 339.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.69 : 235.69 = 235.69 : x
  2. Step 2: Convert to fraction form
    163.69/235.69 = 235.69/x
  3. Step 3: Cross multiply
    163.69x = 235.69 × 235.69
  4. Step 4: Simplify right side
    163.69x = 55,548.60
  5. Step 5: Solve for x
    x = 55,548.60/163.69
  6. Step 6: Final answer
    x = 339.36

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.