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Finding the Third Proportional to 163.48 and 352.48

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Solution

The third proportional to 163.48 and 352.48 is: 759.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.48 : 352.48 = 352.48 : x
  2. Step 2: Convert to fraction form
    163.48/352.48 = 352.48/x
  3. Step 3: Cross multiply
    163.48x = 352.48 × 352.48
  4. Step 4: Simplify right side
    163.48x = 124,239.73
  5. Step 5: Solve for x
    x = 124,239.73/163.48
  6. Step 6: Final answer
    x = 759.98

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.