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Finding the Third Proportional to 201,794 and 442,950

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Solution

The third proportional to 201,794 and 442,950 is: 972,301.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,794 : 442,950 = 442,950 : x
  2. Step 2: Convert to fraction form
    201,794/442,950 = 442,950/x
  3. Step 3: Cross multiply
    201,794x = 442,950 × 442,950
  4. Step 4: Simplify right side
    201,794x = 196,204,702,500
  5. Step 5: Solve for x
    x = 196,204,702,500/201,794
  6. Step 6: Final answer
    x = 972,301.96

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.