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Finding the Third Proportional to 165 and 242.44

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Solution

The third proportional to 165 and 242.44 is: 356.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    165 : 242.44 = 242.44 : x
  2. Step 2: Convert to fraction form
    165/242.44 = 242.44/x
  3. Step 3: Cross multiply
    165x = 242.44 × 242.44
  4. Step 4: Simplify right side
    165x = 58,775.94
  5. Step 5: Solve for x
    x = 58,775.94/165
  6. Step 6: Final answer
    x = 356.22

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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.