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Finding the Third Proportional to 205.13 and 362.63

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Solution

The third proportional to 205.13 and 362.63 is: 641.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.13 : 362.63 = 362.63 : x
  2. Step 2: Convert to fraction form
    205.13/362.63 = 362.63/x
  3. Step 3: Cross multiply
    205.13x = 362.63 × 362.63
  4. Step 4: Simplify right side
    205.13x = 131,496.89
  5. Step 5: Solve for x
    x = 131,496.89/205.13
  6. Step 6: Final answer
    x = 641.06

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Why These Related Problems?

These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.