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Finding the Third Proportional to 201,161.25 and 281,907

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Solution

The third proportional to 201,161.25 and 281,907 is: 395,063.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,161.25 : 281,907 = 281,907 : x
  2. Step 2: Convert to fraction form
    201,161.25/281,907 = 281,907/x
  3. Step 3: Cross multiply
    201,161.25x = 281,907 × 281,907
  4. Step 4: Simplify right side
    201,161.25x = 79,471,556,649
  5. Step 5: Solve for x
    x = 79,471,556,649/201,161.25
  6. Step 6: Final answer
    x = 395,063.94

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.