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Finding the Third Proportional to 213.88 and 466.63

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Solution

The third proportional to 213.88 and 466.63 is: 1,018.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.88 : 466.63 = 466.63 : x
  2. Step 2: Convert to fraction form
    213.88/466.63 = 466.63/x
  3. Step 3: Cross multiply
    213.88x = 466.63 × 466.63
  4. Step 4: Simplify right side
    213.88x = 217,738.89
  5. Step 5: Solve for x
    x = 217,738.89/213.88
  6. Step 6: Final answer
    x = 1,018.07

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.