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Finding the Third Proportional to 201.06 and 435.44

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Solution

The third proportional to 201.06 and 435.44 is: 943.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.06 : 435.44 = 435.44 : x
  2. Step 2: Convert to fraction form
    201.06/435.44 = 435.44/x
  3. Step 3: Cross multiply
    201.06x = 435.44 × 435.44
  4. Step 4: Simplify right side
    201.06x = 189,605.82
  5. Step 5: Solve for x
    x = 189,605.82/201.06
  6. Step 6: Final answer
    x = 943.02

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.