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Finding the Third Proportional to 175.92 and 193.43

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Solution

The third proportional to 175.92 and 193.43 is: 212.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.92 : 193.43 = 193.43 : x
  2. Step 2: Convert to fraction form
    175.92/193.43 = 193.43/x
  3. Step 3: Cross multiply
    175.92x = 193.43 × 193.43
  4. Step 4: Simplify right side
    175.92x = 37,415.04
  5. Step 5: Solve for x
    x = 37,415.04/175.92
  6. Step 6: Final answer
    x = 212.68

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.