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Finding the Third Proportional to 213.13 and 331.13

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Solution

The third proportional to 213.13 and 331.13 is: 514.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.13 : 331.13 = 331.13 : x
  2. Step 2: Convert to fraction form
    213.13/331.13 = 331.13/x
  3. Step 3: Cross multiply
    213.13x = 331.13 × 331.13
  4. Step 4: Simplify right side
    213.13x = 109,643.77
  5. Step 5: Solve for x
    x = 109,643.77/213.13
  6. Step 6: Final answer
    x = 514.46

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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.