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Finding the Third Proportional to 212.88 and 301.38

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Solution

The third proportional to 212.88 and 301.38 is: 426.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.88 : 301.38 = 301.38 : x
  2. Step 2: Convert to fraction form
    212.88/301.38 = 301.38/x
  3. Step 3: Cross multiply
    212.88x = 301.38 × 301.38
  4. Step 4: Simplify right side
    212.88x = 90,826.89
  5. Step 5: Solve for x
    x = 90,826.89/212.88
  6. Step 6: Final answer
    x = 426.67

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.