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Finding the Third Proportional to 274.22 and 561.94

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Solution

The third proportional to 274.22 and 561.94 is: 1,151.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.22 : 561.94 = 561.94 : x
  2. Step 2: Convert to fraction form
    274.22/561.94 = 561.94/x
  3. Step 3: Cross multiply
    274.22x = 561.94 × 561.94
  4. Step 4: Simplify right side
    274.22x = 315,773.75
  5. Step 5: Solve for x
    x = 315,773.75/274.22
  6. Step 6: Final answer
    x = 1,151.54

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.