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Finding the Third Proportional to 204.25 and 308.19

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Solution

The third proportional to 204.25 and 308.19 is: 465.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.25 : 308.19 = 308.19 : x
  2. Step 2: Convert to fraction form
    204.25/308.19 = 308.19/x
  3. Step 3: Cross multiply
    204.25x = 308.19 × 308.19
  4. Step 4: Simplify right side
    204.25x = 94,979.54
  5. Step 5: Solve for x
    x = 94,979.54/204.25
  6. Step 6: Final answer
    x = 465.02

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.