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Finding the Third Proportional to 212.06 and 452.44

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Solution

The third proportional to 212.06 and 452.44 is: 965.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.06 : 452.44 = 452.44 : x
  2. Step 2: Convert to fraction form
    212.06/452.44 = 452.44/x
  3. Step 3: Cross multiply
    212.06x = 452.44 × 452.44
  4. Step 4: Simplify right side
    212.06x = 204,699.69
  5. Step 5: Solve for x
    x = 204,699.69/212.06
  6. Step 6: Final answer
    x = 965.28

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.