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Finding the Third Proportional to 202,238 and 440,149

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Solution

The third proportional to 202,238 and 440,149 is: 957,936.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,238 : 440,149 = 440,149 : x
  2. Step 2: Convert to fraction form
    202,238/440,149 = 440,149/x
  3. Step 3: Cross multiply
    202,238x = 440,149 × 440,149
  4. Step 4: Simplify right side
    202,238x = 193,731,142,201
  5. Step 5: Solve for x
    x = 193,731,142,201/202,238
  6. Step 6: Final answer
    x = 957,936.40

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.