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Finding the Third Proportional to 200.06 and 285.28

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Solution

The third proportional to 200.06 and 285.28 is: 406.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.06 : 285.28 = 285.28 : x
  2. Step 2: Convert to fraction form
    200.06/285.28 = 285.28/x
  3. Step 3: Cross multiply
    200.06x = 285.28 × 285.28
  4. Step 4: Simplify right side
    200.06x = 81,385.39
  5. Step 5: Solve for x
    x = 81,385.39/200.06
  6. Step 6: Final answer
    x = 406.80

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.