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Finding the Third Proportional to 214 and 441.38

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Solution

The third proportional to 214 and 441.38 is: 910.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    214 : 441.38 = 441.38 : x
  2. Step 2: Convert to fraction form
    214/441.38 = 441.38/x
  3. Step 3: Cross multiply
    214x = 441.38 × 441.38
  4. Step 4: Simplify right side
    214x = 194,811.89
  5. Step 5: Solve for x
    x = 194,811.89/214
  6. Step 6: Final answer
    x = 910.34

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.