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Finding the Third Proportional to 273.94 and 366.47

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Solution

The third proportional to 273.94 and 366.47 is: 490.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.94 : 366.47 = 366.47 : x
  2. Step 2: Convert to fraction form
    273.94/366.47 = 366.47/x
  3. Step 3: Cross multiply
    273.94x = 366.47 × 366.47
  4. Step 4: Simplify right side
    273.94x = 134,299.34
  5. Step 5: Solve for x
    x = 134,299.34/273.94
  6. Step 6: Final answer
    x = 490.26

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.