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Finding the Third Proportional to 151,675 and 326,245

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Solution

The third proportional to 151,675 and 326,245 is: 701,735.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,675 : 326,245 = 326,245 : x
  2. Step 2: Convert to fraction form
    151,675/326,245 = 326,245/x
  3. Step 3: Cross multiply
    151,675x = 326,245 × 326,245
  4. Step 4: Simplify right side
    151,675x = 106,435,800,025
  5. Step 5: Solve for x
    x = 106,435,800,025/151,675
  6. Step 6: Final answer
    x = 701,735.95

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.