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Finding the Third Proportional to 114.75 and 204.38

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Solution

The third proportional to 114.75 and 204.38 is: 364.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.75 : 204.38 = 204.38 : x
  2. Step 2: Convert to fraction form
    114.75/204.38 = 204.38/x
  3. Step 3: Cross multiply
    114.75x = 204.38 × 204.38
  4. Step 4: Simplify right side
    114.75x = 41,769.14
  5. Step 5: Solve for x
    x = 41,769.14/114.75
  6. Step 6: Final answer
    x = 364.00

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.