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Finding the Third Proportional to 163.83 and 240.05

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Solution

The third proportional to 163.83 and 240.05 is: 351.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.83 : 240.05 = 240.05 : x
  2. Step 2: Convert to fraction form
    163.83/240.05 = 240.05/x
  3. Step 3: Cross multiply
    163.83x = 240.05 × 240.05
  4. Step 4: Simplify right side
    163.83x = 57,622.50
  5. Step 5: Solve for x
    x = 57,622.50/163.83
  6. Step 6: Final answer
    x = 351.73

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.