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Finding the Third Proportional to 182.25 and 274.22

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Solution

The third proportional to 182.25 and 274.22 is: 412.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.25 : 274.22 = 274.22 : x
  2. Step 2: Convert to fraction form
    182.25/274.22 = 274.22/x
  3. Step 3: Cross multiply
    182.25x = 274.22 × 274.22
  4. Step 4: Simplify right side
    182.25x = 75,195.92
  5. Step 5: Solve for x
    x = 75,195.92/182.25
  6. Step 6: Final answer
    x = 412.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.