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Finding the Third Proportional to 273.94 and 445.03

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Solution

The third proportional to 273.94 and 445.03 is: 722.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.94 : 445.03 = 445.03 : x
  2. Step 2: Convert to fraction form
    273.94/445.03 = 445.03/x
  3. Step 3: Cross multiply
    273.94x = 445.03 × 445.03
  4. Step 4: Simplify right side
    273.94x = 198,052.81
  5. Step 5: Solve for x
    x = 198,052.81/273.94
  6. Step 6: Final answer
    x = 722.99

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.