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Finding the Third Proportional to 210 and 396.75

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Solution

The third proportional to 210 and 396.75 is: 749.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    210 : 396.75 = 396.75 : x
  2. Step 2: Convert to fraction form
    210/396.75 = 396.75/x
  3. Step 3: Cross multiply
    210x = 396.75 × 396.75
  4. Step 4: Simplify right side
    210x = 157,410.56
  5. Step 5: Solve for x
    x = 157,410.56/210
  6. Step 6: Final answer
    x = 749.57

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Why These Related Problems?

These problems maintain the same ratio (1.89) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.