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Finding the Third Proportional to 212.94 and 451.38

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Solution

The third proportional to 212.94 and 451.38 is: 956.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.94 : 451.38 = 451.38 : x
  2. Step 2: Convert to fraction form
    212.94/451.38 = 451.38/x
  3. Step 3: Cross multiply
    212.94x = 451.38 × 451.38
  4. Step 4: Simplify right side
    212.94x = 203,739.39
  5. Step 5: Solve for x
    x = 203,739.39/212.94
  6. Step 6: Final answer
    x = 956.80

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.