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Finding the Third Proportional to 201,467 and 273,775

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Solution

The third proportional to 201,467 and 273,775 is: 372,034.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,467 : 273,775 = 273,775 : x
  2. Step 2: Convert to fraction form
    201,467/273,775 = 273,775/x
  3. Step 3: Cross multiply
    201,467x = 273,775 × 273,775
  4. Step 4: Simplify right side
    201,467x = 74,952,750,625
  5. Step 5: Solve for x
    x = 74,952,750,625/201,467
  6. Step 6: Final answer
    x = 372,034.88

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.