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Finding the Third Proportional to 201.83 and 259.49

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Solution

The third proportional to 201.83 and 259.49 is: 333.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.83 : 259.49 = 259.49 : x
  2. Step 2: Convert to fraction form
    201.83/259.49 = 259.49/x
  3. Step 3: Cross multiply
    201.83x = 259.49 × 259.49
  4. Step 4: Simplify right side
    201.83x = 67,336.45
  5. Step 5: Solve for x
    x = 67,336.45/201.83
  6. Step 6: Final answer
    x = 333.63

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Why These Related Problems?

These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.