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Finding the Third Proportional to 212.06 and 449.44

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Solution

The third proportional to 212.06 and 449.44 is: 952.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.06 : 449.44 = 449.44 : x
  2. Step 2: Convert to fraction form
    212.06/449.44 = 449.44/x
  3. Step 3: Cross multiply
    212.06x = 449.44 × 449.44
  4. Step 4: Simplify right side
    212.06x = 201,994.07
  5. Step 5: Solve for x
    x = 201,994.07/212.06
  6. Step 6: Final answer
    x = 952.52

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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.