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Finding the Third Proportional to 109.97 and 192.94

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Solution

The third proportional to 109.97 and 192.94 is: 338.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.97 : 192.94 = 192.94 : x
  2. Step 2: Convert to fraction form
    109.97/192.94 = 192.94/x
  3. Step 3: Cross multiply
    109.97x = 192.94 × 192.94
  4. Step 4: Simplify right side
    109.97x = 37,224.88
  5. Step 5: Solve for x
    x = 37,224.88/109.97
  6. Step 6: Final answer
    x = 338.50

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Why These Related Problems?

These problems maintain the same ratio (1.75) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.