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Finding the Third Proportional to 205.38 and 476.13

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Solution

The third proportional to 205.38 and 476.13 is: 1,103.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.38 : 476.13 = 476.13 : x
  2. Step 2: Convert to fraction form
    205.38/476.13 = 476.13/x
  3. Step 3: Cross multiply
    205.38x = 476.13 × 476.13
  4. Step 4: Simplify right side
    205.38x = 226,695.02
  5. Step 5: Solve for x
    x = 226,695.02/205.38
  6. Step 6: Final answer
    x = 1,103.81

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.