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Finding the Third Proportional to 200.72 and 411.28

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Solution

The third proportional to 200.72 and 411.28 is: 842.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.72 : 411.28 = 411.28 : x
  2. Step 2: Convert to fraction form
    200.72/411.28 = 411.28/x
  3. Step 3: Cross multiply
    200.72x = 411.28 × 411.28
  4. Step 4: Simplify right side
    200.72x = 169,152.27
  5. Step 5: Solve for x
    x = 169,152.27/200.72
  6. Step 6: Final answer
    x = 842.73

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.