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Finding the Third Proportional to 205.75 and 327.13

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Solution

The third proportional to 205.75 and 327.13 is: 520.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.75 : 327.13 = 327.13 : x
  2. Step 2: Convert to fraction form
    205.75/327.13 = 327.13/x
  3. Step 3: Cross multiply
    205.75x = 327.13 × 327.13
  4. Step 4: Simplify right side
    205.75x = 107,010.77
  5. Step 5: Solve for x
    x = 107,010.77/205.75
  6. Step 6: Final answer
    x = 520.10

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.