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Finding the Third Proportional to 200.81 and 300.28

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Solution

The third proportional to 200.81 and 300.28 is: 449.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.81 : 300.28 = 300.28 : x
  2. Step 2: Convert to fraction form
    200.81/300.28 = 300.28/x
  3. Step 3: Cross multiply
    200.81x = 300.28 × 300.28
  4. Step 4: Simplify right side
    200.81x = 90,168.83
  5. Step 5: Solve for x
    x = 90,168.83/200.81
  6. Step 6: Final answer
    x = 449.02

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