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Finding the Third Proportional to 205.38 and 495.63

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Solution

The third proportional to 205.38 and 495.63 is: 1,196.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.38 : 495.63 = 495.63 : x
  2. Step 2: Convert to fraction form
    205.38/495.63 = 495.63/x
  3. Step 3: Cross multiply
    205.38x = 495.63 × 495.63
  4. Step 4: Simplify right side
    205.38x = 245,644.14
  5. Step 5: Solve for x
    x = 245,644.14/205.38
  6. Step 6: Final answer
    x = 1,196.08

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.