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Finding the Third Proportional to 205.38 and 450.13

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Solution

The third proportional to 205.38 and 450.13 is: 986.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.38 : 450.13 = 450.13 : x
  2. Step 2: Convert to fraction form
    205.38/450.13 = 450.13/x
  3. Step 3: Cross multiply
    205.38x = 450.13 × 450.13
  4. Step 4: Simplify right side
    205.38x = 202,612.52
  5. Step 5: Solve for x
    x = 202,612.52/205.38
  6. Step 6: Final answer
    x = 986.55

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.