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Finding the Third Proportional to 79,435 and 165,404

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Solution

The third proportional to 79,435 and 165,404 is: 344,413.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,435 : 165,404 = 165,404 : x
  2. Step 2: Convert to fraction form
    79,435/165,404 = 165,404/x
  3. Step 3: Cross multiply
    79,435x = 165,404 × 165,404
  4. Step 4: Simplify right side
    79,435x = 27,358,483,216
  5. Step 5: Solve for x
    x = 27,358,483,216/79,435
  6. Step 6: Final answer
    x = 344,413.46

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.