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Finding the Third Proportional to 363.50 and 516

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Solution

The third proportional to 363.50 and 516 is: 732.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.50 : 516 = 516 : x
  2. Step 2: Convert to fraction form
    363.50/516 = 516/x
  3. Step 3: Cross multiply
    363.50x = 516 × 516
  4. Step 4: Simplify right side
    363.50x = 266,256
  5. Step 5: Solve for x
    x = 266,256/363.50
  6. Step 6: Final answer
    x = 732.48

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.