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Finding the Third Proportional to 204.56 and 303.99

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Solution

The third proportional to 204.56 and 303.99 is: 451.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.56 : 303.99 = 303.99 : x
  2. Step 2: Convert to fraction form
    204.56/303.99 = 303.99/x
  3. Step 3: Cross multiply
    204.56x = 303.99 × 303.99
  4. Step 4: Simplify right side
    204.56x = 92,408.28
  5. Step 5: Solve for x
    x = 92,408.28/204.56
  6. Step 6: Final answer
    x = 451.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.