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Finding the Third Proportional to 201,141.75 and 277,075

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Solution

The third proportional to 201,141.75 and 277,075 is: 381,673.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,141.75 : 277,075 = 277,075 : x
  2. Step 2: Convert to fraction form
    201,141.75/277,075 = 277,075/x
  3. Step 3: Cross multiply
    201,141.75x = 277,075 × 277,075
  4. Step 4: Simplify right side
    201,141.75x = 76,770,555,625
  5. Step 5: Solve for x
    x = 76,770,555,625/201,141.75
  6. Step 6: Final answer
    x = 381,673.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.