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Finding the Third Proportional to 212.06 and 284.94

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Solution

The third proportional to 212.06 and 284.94 is: 382.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.06 : 284.94 = 284.94 : x
  2. Step 2: Convert to fraction form
    212.06/284.94 = 284.94/x
  3. Step 3: Cross multiply
    212.06x = 284.94 × 284.94
  4. Step 4: Simplify right side
    212.06x = 81,189.38
  5. Step 5: Solve for x
    x = 81,189.38/212.06
  6. Step 6: Final answer
    x = 382.86

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.