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Finding the Third Proportional to 213.50 and 331

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Solution

The third proportional to 213.50 and 331 is: 513.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.50 : 331 = 331 : x
  2. Step 2: Convert to fraction form
    213.50/331 = 331/x
  3. Step 3: Cross multiply
    213.50x = 331 × 331
  4. Step 4: Simplify right side
    213.50x = 109,561
  5. Step 5: Solve for x
    x = 109,561/213.50
  6. Step 6: Final answer
    x = 513.17

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.