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Finding the Third Proportional to 298,252.25 and 451,722

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Solution

The third proportional to 298,252.25 and 451,722 is: 684,161.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,252.25 : 451,722 = 451,722 : x
  2. Step 2: Convert to fraction form
    298,252.25/451,722 = 451,722/x
  3. Step 3: Cross multiply
    298,252.25x = 451,722 × 451,722
  4. Step 4: Simplify right side
    298,252.25x = 204,052,765,284
  5. Step 5: Solve for x
    x = 204,052,765,284/298,252.25
  6. Step 6: Final answer
    x = 684,161.70

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.