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Finding the Third Proportional to 103.44 and 255.56

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Solution

The third proportional to 103.44 and 255.56 is: 631.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.44 : 255.56 = 255.56 : x
  2. Step 2: Convert to fraction form
    103.44/255.56 = 255.56/x
  3. Step 3: Cross multiply
    103.44x = 255.56 × 255.56
  4. Step 4: Simplify right side
    103.44x = 65,312.19
  5. Step 5: Solve for x
    x = 65,312.19/103.44
  6. Step 6: Final answer
    x = 631.42

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Why These Related Problems?

These problems maintain the same ratio (2.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.