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Finding the Third Proportional to 80.06 and 201.56

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Solution

The third proportional to 80.06 and 201.56 is: 507.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.06 : 201.56 = 201.56 : x
  2. Step 2: Convert to fraction form
    80.06/201.56 = 201.56/x
  3. Step 3: Cross multiply
    80.06x = 201.56 × 201.56
  4. Step 4: Simplify right side
    80.06x = 40,627.44
  5. Step 5: Solve for x
    x = 40,627.44/80.06
  6. Step 6: Final answer
    x = 507.45

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Why These Related Problems?

These problems maintain the same ratio (2.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.