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Finding the Third Proportional to 202.66 and 441.86

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Solution

The third proportional to 202.66 and 441.86 is: 963.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.66 : 441.86 = 441.86 : x
  2. Step 2: Convert to fraction form
    202.66/441.86 = 441.86/x
  3. Step 3: Cross multiply
    202.66x = 441.86 × 441.86
  4. Step 4: Simplify right side
    202.66x = 195,241.43
  5. Step 5: Solve for x
    x = 195,241.43/202.66
  6. Step 6: Final answer
    x = 963.40

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.