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Finding the Third Proportional to 79,441 and 165,415

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Solution

The third proportional to 79,441 and 165,415 is: 344,433.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,441 : 165,415 = 165,415 : x
  2. Step 2: Convert to fraction form
    79,441/165,415 = 165,415/x
  3. Step 3: Cross multiply
    79,441x = 165,415 × 165,415
  4. Step 4: Simplify right side
    79,441x = 27,362,122,225
  5. Step 5: Solve for x
    x = 27,362,122,225/79,441
  6. Step 6: Final answer
    x = 344,433.26

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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.