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Finding the Third Proportional to 205.10 and 351.42

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Solution

The third proportional to 205.10 and 351.42 is: 602.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.10 : 351.42 = 351.42 : x
  2. Step 2: Convert to fraction form
    205.10/351.42 = 351.42/x
  3. Step 3: Cross multiply
    205.10x = 351.42 × 351.42
  4. Step 4: Simplify right side
    205.10x = 123,497.33
  5. Step 5: Solve for x
    x = 123,497.33/205.10
  6. Step 6: Final answer
    x = 602.13

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Why These Related Problems?

These problems maintain the same ratio (1.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.