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Finding the Third Proportional to 224.75 and 364.61

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Solution

The third proportional to 224.75 and 364.61 is: 591.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.75 : 364.61 = 364.61 : x
  2. Step 2: Convert to fraction form
    224.75/364.61 = 364.61/x
  3. Step 3: Cross multiply
    224.75x = 364.61 × 364.61
  4. Step 4: Simplify right side
    224.75x = 132,937.15
  5. Step 5: Solve for x
    x = 132,937.15/224.75
  6. Step 6: Final answer
    x = 591.48

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.