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Finding the Third Proportional to 224.86 and 362.81

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Solution

The third proportional to 224.86 and 362.81 is: 585.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.86 : 362.81 = 362.81 : x
  2. Step 2: Convert to fraction form
    224.86/362.81 = 362.81/x
  3. Step 3: Cross multiply
    224.86x = 362.81 × 362.81
  4. Step 4: Simplify right side
    224.86x = 131,632.91
  5. Step 5: Solve for x
    x = 131,632.91/224.86
  6. Step 6: Final answer
    x = 585.40

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.