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Finding the Third Proportional to 175,101 and 267,027

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Solution

The third proportional to 175,101 and 267,027 is: 407,213.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,101 : 267,027 = 267,027 : x
  2. Step 2: Convert to fraction form
    175,101/267,027 = 267,027/x
  3. Step 3: Cross multiply
    175,101x = 267,027 × 267,027
  4. Step 4: Simplify right side
    175,101x = 71,303,418,729
  5. Step 5: Solve for x
    x = 71,303,418,729/175,101
  6. Step 6: Final answer
    x = 407,213.09

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.