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Finding the Third Proportional to 165,045 and 222,873

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Solution

The third proportional to 165,045 and 222,873 is: 300,962.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,045 : 222,873 = 222,873 : x
  2. Step 2: Convert to fraction form
    165,045/222,873 = 222,873/x
  3. Step 3: Cross multiply
    165,045x = 222,873 × 222,873
  4. Step 4: Simplify right side
    165,045x = 49,672,374,129
  5. Step 5: Solve for x
    x = 49,672,374,129/165,045
  6. Step 6: Final answer
    x = 300,962.61

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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.