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Finding the Third Proportional to 224.86 and 335.39

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Solution

The third proportional to 224.86 and 335.39 is: 500.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.86 : 335.39 = 335.39 : x
  2. Step 2: Convert to fraction form
    224.86/335.39 = 335.39/x
  3. Step 3: Cross multiply
    224.86x = 335.39 × 335.39
  4. Step 4: Simplify right side
    224.86x = 112,486.87
  5. Step 5: Solve for x
    x = 112,486.87/224.86
  6. Step 6: Final answer
    x = 500.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.