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Finding the Third Proportional to 75,340.97 and 165,747.94

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Solution

The third proportional to 75,340.97 and 165,747.94 is: 364,640.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,340.97 : 165,747.94 = 165,747.94 : x
  2. Step 2: Convert to fraction form
    75,340.97/165,747.94 = 165,747.94/x
  3. Step 3: Cross multiply
    75,340.97x = 165,747.94 × 165,747.94
  4. Step 4: Simplify right side
    75,340.97x = 27,472,378,785.50
  5. Step 5: Solve for x
    x = 27,472,378,785.50/75,340.97
  6. Step 6: Final answer
    x = 364,640.64

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.