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Finding the Third Proportional to 212.63 and 478.41

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Solution

The third proportional to 212.63 and 478.41 is: 1,076.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.63 : 478.41 = 478.41 : x
  2. Step 2: Convert to fraction form
    212.63/478.41 = 478.41/x
  3. Step 3: Cross multiply
    212.63x = 478.41 × 478.41
  4. Step 4: Simplify right side
    212.63x = 228,872.54
  5. Step 5: Solve for x
    x = 228,872.54/212.63
  6. Step 6: Final answer
    x = 1,076.41

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.