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Finding the Third Proportional to 152,069 and 222,325

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Solution

The third proportional to 152,069 and 222,325 is: 325,039.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,069 : 222,325 = 222,325 : x
  2. Step 2: Convert to fraction form
    152,069/222,325 = 222,325/x
  3. Step 3: Cross multiply
    152,069x = 222,325 × 222,325
  4. Step 4: Simplify right side
    152,069x = 49,428,405,625
  5. Step 5: Solve for x
    x = 49,428,405,625/152,069
  6. Step 6: Final answer
    x = 325,039.33

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.