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Finding the Third Proportional to 152,022 and 326,183.25

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Solution

The third proportional to 152,022 and 326,183.25 is: 699,869.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,022 : 326,183.25 = 326,183.25 : x
  2. Step 2: Convert to fraction form
    152,022/326,183.25 = 326,183.25/x
  3. Step 3: Cross multiply
    152,022x = 326,183.25 × 326,183.25
  4. Step 4: Simplify right side
    152,022x = 106,395,512,580.56
  5. Step 5: Solve for x
    x = 106,395,512,580.56/152,022
  6. Step 6: Final answer
    x = 699,869.18

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Why These Related Problems?

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