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Finding the Third Proportional to 128.31 and 273.69

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Solution

The third proportional to 128.31 and 273.69 is: 583.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.31 : 273.69 = 273.69 : x
  2. Step 2: Convert to fraction form
    128.31/273.69 = 273.69/x
  3. Step 3: Cross multiply
    128.31x = 273.69 × 273.69
  4. Step 4: Simplify right side
    128.31x = 74,904.85
  5. Step 5: Solve for x
    x = 74,904.85/128.31
  6. Step 6: Final answer
    x = 583.77

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.