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Finding the Third Proportional to 205.13 and 365.81

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Solution

The third proportional to 205.13 and 365.81 is: 652.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.13 : 365.81 = 365.81 : x
  2. Step 2: Convert to fraction form
    205.13/365.81 = 365.81/x
  3. Step 3: Cross multiply
    205.13x = 365.81 × 365.81
  4. Step 4: Simplify right side
    205.13x = 133,818.79
  5. Step 5: Solve for x
    x = 133,818.79/205.13
  6. Step 6: Final answer
    x = 652.38

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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.