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Finding the Third Proportional to 222.25 and 334.38

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Solution

The third proportional to 222.25 and 334.38 is: 503.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.25 : 334.38 = 334.38 : x
  2. Step 2: Convert to fraction form
    222.25/334.38 = 334.38/x
  3. Step 3: Cross multiply
    222.25x = 334.38 × 334.38
  4. Step 4: Simplify right side
    222.25x = 111,806.64
  5. Step 5: Solve for x
    x = 111,806.64/222.25
  6. Step 6: Final answer
    x = 503.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.