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Finding the Third Proportional to 267,405 and 401,165

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Solution

The third proportional to 267,405 and 401,165 is: 601,833.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,405 : 401,165 = 401,165 : x
  2. Step 2: Convert to fraction form
    267,405/401,165 = 401,165/x
  3. Step 3: Cross multiply
    267,405x = 401,165 × 401,165
  4. Step 4: Simplify right side
    267,405x = 160,933,357,225
  5. Step 5: Solve for x
    x = 160,933,357,225/267,405
  6. Step 6: Final answer
    x = 601,833.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.