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Finding the Third Proportional to 200.06 and 300.66

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Solution

The third proportional to 200.06 and 300.66 is: 451.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.06 : 300.66 = 300.66 : x
  2. Step 2: Convert to fraction form
    200.06/300.66 = 300.66/x
  3. Step 3: Cross multiply
    200.06x = 300.66 × 300.66
  4. Step 4: Simplify right side
    200.06x = 90,394.18
  5. Step 5: Solve for x
    x = 90,394.18/200.06
  6. Step 6: Final answer
    x = 451.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.