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Finding the Third Proportional to 201.88 and 471.69

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Solution

The third proportional to 201.88 and 471.69 is: 1,102.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.88 : 471.69 = 471.69 : x
  2. Step 2: Convert to fraction form
    201.88/471.69 = 471.69/x
  3. Step 3: Cross multiply
    201.88x = 471.69 × 471.69
  4. Step 4: Simplify right side
    201.88x = 222,489.10
  5. Step 5: Solve for x
    x = 222,489.10/201.88
  6. Step 6: Final answer
    x = 1,102.11

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.