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Finding the Third Proportional to 205.13 and 352.13

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Solution

The third proportional to 205.13 and 352.13 is: 604.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.13 : 352.13 = 352.13 : x
  2. Step 2: Convert to fraction form
    205.13/352.13 = 352.13/x
  3. Step 3: Cross multiply
    205.13x = 352.13 × 352.13
  4. Step 4: Simplify right side
    205.13x = 123,992.02
  5. Step 5: Solve for x
    x = 123,992.02/205.13
  6. Step 6: Final answer
    x = 604.47

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Why These Related Problems?

These problems maintain the same ratio (1.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.