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Finding the Third Proportional to 164,601.75 and 246,821.25

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Solution

The third proportional to 164,601.75 and 246,821.25 is: 370,109.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,601.75 : 246,821.25 = 246,821.25 : x
  2. Step 2: Convert to fraction form
    164,601.75/246,821.25 = 246,821.25/x
  3. Step 3: Cross multiply
    164,601.75x = 246,821.25 × 246,821.25
  4. Step 4: Simplify right side
    164,601.75x = 60,920,729,451.56
  5. Step 5: Solve for x
    x = 60,920,729,451.56/164,601.75
  6. Step 6: Final answer
    x = 370,109.85

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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.