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Finding the Third Proportional to 165,954.75 and 356,103.75

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Solution

The third proportional to 165,954.75 and 356,103.75 is: 764,123.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,954.75 : 356,103.75 = 356,103.75 : x
  2. Step 2: Convert to fraction form
    165,954.75/356,103.75 = 356,103.75/x
  3. Step 3: Cross multiply
    165,954.75x = 356,103.75 × 356,103.75
  4. Step 4: Simplify right side
    165,954.75x = 126,809,880,764.06
  5. Step 5: Solve for x
    x = 126,809,880,764.06/165,954.75
  6. Step 6: Final answer
    x = 764,123.24

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.