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Finding the Third Proportional to 178,658 and 267,795

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Solution

The third proportional to 178,658 and 267,795 is: 401,404.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,658 : 267,795 = 267,795 : x
  2. Step 2: Convert to fraction form
    178,658/267,795 = 267,795/x
  3. Step 3: Cross multiply
    178,658x = 267,795 × 267,795
  4. Step 4: Simplify right side
    178,658x = 71,714,162,025
  5. Step 5: Solve for x
    x = 71,714,162,025/178,658
  6. Step 6: Final answer
    x = 401,404.71

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