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Finding the Third Proportional to 224.44 and 309.66

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Solution

The third proportional to 224.44 and 309.66 is: 427.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.44 : 309.66 = 309.66 : x
  2. Step 2: Convert to fraction form
    224.44/309.66 = 309.66/x
  3. Step 3: Cross multiply
    224.44x = 309.66 × 309.66
  4. Step 4: Simplify right side
    224.44x = 95,886.99
  5. Step 5: Solve for x
    x = 95,886.99/224.44
  6. Step 6: Final answer
    x = 427.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.