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Finding the Third Proportional to 128 and 193.88

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Solution

The third proportional to 128 and 193.88 is: 293.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    128 : 193.88 = 193.88 : x
  2. Step 2: Convert to fraction form
    128/193.88 = 193.88/x
  3. Step 3: Cross multiply
    128x = 193.88 × 193.88
  4. Step 4: Simplify right side
    128x = 37,587.52
  5. Step 5: Solve for x
    x = 37,587.52/128
  6. Step 6: Final answer
    x = 293.65

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.