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Finding the Third Proportional to 201,941.75 and 410,504.75

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Solution

The third proportional to 201,941.75 and 410,504.75 is: 834,469.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,941.75 : 410,504.75 = 410,504.75 : x
  2. Step 2: Convert to fraction form
    201,941.75/410,504.75 = 410,504.75/x
  3. Step 3: Cross multiply
    201,941.75x = 410,504.75 × 410,504.75
  4. Step 4: Simplify right side
    201,941.75x = 168,514,149,772.56
  5. Step 5: Solve for x
    x = 168,514,149,772.56/201,941.75
  6. Step 6: Final answer
    x = 834,469.10

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.