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Finding the Third Proportional to 204.56 and 350.26

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Solution

The third proportional to 204.56 and 350.26 is: 599.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.56 : 350.26 = 350.26 : x
  2. Step 2: Convert to fraction form
    204.56/350.26 = 350.26/x
  3. Step 3: Cross multiply
    204.56x = 350.26 × 350.26
  4. Step 4: Simplify right side
    204.56x = 122,683.27
  5. Step 5: Solve for x
    x = 122,683.27/204.56
  6. Step 6: Final answer
    x = 599.75

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Why These Related Problems?

These problems maintain the same ratio (1.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.