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Finding the Third Proportional to 109.50 and 273.75

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Solution

The third proportional to 109.50 and 273.75 is: 684.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.50 : 273.75 = 273.75 : x
  2. Step 2: Convert to fraction form
    109.50/273.75 = 273.75/x
  3. Step 3: Cross multiply
    109.50x = 273.75 × 273.75
  4. Step 4: Simplify right side
    109.50x = 74,939.06
  5. Step 5: Solve for x
    x = 74,939.06/109.50
  6. Step 6: Final answer
    x = 684.38

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Why These Related Problems?

These problems maintain the same ratio (2.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.