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Finding the Third Proportional to 222.94 and 326.16

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Solution

The third proportional to 222.94 and 326.16 is: 477.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.94 : 326.16 = 326.16 : x
  2. Step 2: Convert to fraction form
    222.94/326.16 = 326.16/x
  3. Step 3: Cross multiply
    222.94x = 326.16 × 326.16
  4. Step 4: Simplify right side
    222.94x = 106,377.90
  5. Step 5: Solve for x
    x = 106,377.90/222.94
  6. Step 6: Final answer
    x = 477.16

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.