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Finding the Third Proportional to 203.34 and 436.22

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Solution

The third proportional to 203.34 and 436.22 is: 935.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.34 : 436.22 = 436.22 : x
  2. Step 2: Convert to fraction form
    203.34/436.22 = 436.22/x
  3. Step 3: Cross multiply
    203.34x = 436.22 × 436.22
  4. Step 4: Simplify right side
    203.34x = 190,286.80
  5. Step 5: Solve for x
    x = 190,286.80/203.34
  6. Step 6: Final answer
    x = 935.79

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.