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Finding the Third Proportional to 128.00 and 193.11

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Solution

The third proportional to 128.00 and 193.11 is: 291.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.00 : 193.11 = 193.11 : x
  2. Step 2: Convert to fraction form
    128.00/193.11 = 193.11/x
  3. Step 3: Cross multiply
    128.00x = 193.11 × 193.11
  4. Step 4: Simplify right side
    128.00x = 37,292.74
  5. Step 5: Solve for x
    x = 37,292.74/128.00
  6. Step 6: Final answer
    x = 291.34

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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.