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Finding the Third Proportional to 203.03 and 377.23

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Solution

The third proportional to 203.03 and 377.23 is: 700.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.03 : 377.23 = 377.23 : x
  2. Step 2: Convert to fraction form
    203.03/377.23 = 377.23/x
  3. Step 3: Cross multiply
    203.03x = 377.23 × 377.23
  4. Step 4: Simplify right side
    203.03x = 142,299.05
  5. Step 5: Solve for x
    x = 142,299.05/203.03
  6. Step 6: Final answer
    x = 700.88

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.