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Finding the Third Proportional to 133,622 and 214,914

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Solution

The third proportional to 133,622 and 214,914 is: 345,661.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,622 : 214,914 = 214,914 : x
  2. Step 2: Convert to fraction form
    133,622/214,914 = 214,914/x
  3. Step 3: Cross multiply
    133,622x = 214,914 × 214,914
  4. Step 4: Simplify right side
    133,622x = 46,188,027,396
  5. Step 5: Solve for x
    x = 46,188,027,396/133,622
  6. Step 6: Final answer
    x = 345,661.85

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.