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Finding the Third Proportional to 102.56 and 204.38

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Solution

The third proportional to 102.56 and 204.38 is: 407.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.56 : 204.38 = 204.38 : x
  2. Step 2: Convert to fraction form
    102.56/204.38 = 204.38/x
  3. Step 3: Cross multiply
    102.56x = 204.38 × 204.38
  4. Step 4: Simplify right side
    102.56x = 41,769.14
  5. Step 5: Solve for x
    x = 41,769.14/102.56
  6. Step 6: Final answer
    x = 407.26

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Why These Related Problems?

These problems maintain the same ratio (1.99) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.