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Finding the Third Proportional to 273.56 and 400.22

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Solution

The third proportional to 273.56 and 400.22 is: 585.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.56 : 400.22 = 400.22 : x
  2. Step 2: Convert to fraction form
    273.56/400.22 = 400.22/x
  3. Step 3: Cross multiply
    273.56x = 400.22 × 400.22
  4. Step 4: Simplify right side
    273.56x = 160,175.05
  5. Step 5: Solve for x
    x = 160,175.05/273.56
  6. Step 6: Final answer
    x = 585.52

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.