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Finding the Third Proportional to 165,054 and 222,885

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Solution

The third proportional to 165,054 and 222,885 is: 300,978.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,054 : 222,885 = 222,885 : x
  2. Step 2: Convert to fraction form
    165,054/222,885 = 222,885/x
  3. Step 3: Cross multiply
    165,054x = 222,885 × 222,885
  4. Step 4: Simplify right side
    165,054x = 49,677,723,225
  5. Step 5: Solve for x
    x = 49,677,723,225/165,054
  6. Step 6: Final answer
    x = 300,978.61

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.