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Finding the Third Proportional to 86.06 and 201.87

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Solution

The third proportional to 86.06 and 201.87 is: 473.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.06 : 201.87 = 201.87 : x
  2. Step 2: Convert to fraction form
    86.06/201.87 = 201.87/x
  3. Step 3: Cross multiply
    86.06x = 201.87 × 201.87
  4. Step 4: Simplify right side
    86.06x = 40,750.36
  5. Step 5: Solve for x
    x = 40,750.36/86.06
  6. Step 6: Final answer
    x = 473.50

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.