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Finding the Third Proportional to 102.84 and 200.44

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Solution

The third proportional to 102.84 and 200.44 is: 390.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.84 : 200.44 = 200.44 : x
  2. Step 2: Convert to fraction form
    102.84/200.44 = 200.44/x
  3. Step 3: Cross multiply
    102.84x = 200.44 × 200.44
  4. Step 4: Simplify right side
    102.84x = 40,175.19
  5. Step 5: Solve for x
    x = 40,175.19/102.84
  6. Step 6: Final answer
    x = 390.64

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.