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Finding the Third Proportional to 267,403 and 401,162

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Solution

The third proportional to 267,403 and 401,162 is: 601,829.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,403 : 401,162 = 401,162 : x
  2. Step 2: Convert to fraction form
    267,403/401,162 = 401,162/x
  3. Step 3: Cross multiply
    267,403x = 401,162 × 401,162
  4. Step 4: Simplify right side
    267,403x = 160,930,950,244
  5. Step 5: Solve for x
    x = 160,930,950,244/267,403
  6. Step 6: Final answer
    x = 601,829.26

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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.