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Finding the Third Proportional to 202.27 and 433.73

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Solution

The third proportional to 202.27 and 433.73 is: 930.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.27 : 433.73 = 433.73 : x
  2. Step 2: Convert to fraction form
    202.27/433.73 = 433.73/x
  3. Step 3: Cross multiply
    202.27x = 433.73 × 433.73
  4. Step 4: Simplify right side
    202.27x = 188,125.51
  5. Step 5: Solve for x
    x = 188,125.51/202.27
  6. Step 6: Final answer
    x = 930.09

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.