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Finding the Third Proportional to 204.38 and 465.94

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Solution

The third proportional to 204.38 and 465.94 is: 1,062.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.38 : 465.94 = 465.94 : x
  2. Step 2: Convert to fraction form
    204.38/465.94 = 465.94/x
  3. Step 3: Cross multiply
    204.38x = 465.94 × 465.94
  4. Step 4: Simplify right side
    204.38x = 217,097.75
  5. Step 5: Solve for x
    x = 217,097.75/204.38
  6. Step 6: Final answer
    x = 1,062.25

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.