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Finding the Third Proportional to 165,241.50 and 222,949

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Solution

The third proportional to 165,241.50 and 222,949 is: 300,809.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,241.50 : 222,949 = 222,949 : x
  2. Step 2: Convert to fraction form
    165,241.50/222,949 = 222,949/x
  3. Step 3: Cross multiply
    165,241.50x = 222,949 × 222,949
  4. Step 4: Simplify right side
    165,241.50x = 49,706,256,601
  5. Step 5: Solve for x
    x = 49,706,256,601/165,241.50
  6. Step 6: Final answer
    x = 300,809.76

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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.