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Finding the Third Proportional to 79,408 and 165,392

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Solution

The third proportional to 79,408 and 165,392 is: 344,480.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,408 : 165,392 = 165,392 : x
  2. Step 2: Convert to fraction form
    79,408/165,392 = 165,392/x
  3. Step 3: Cross multiply
    79,408x = 165,392 × 165,392
  4. Step 4: Simplify right side
    79,408x = 27,354,513,664
  5. Step 5: Solve for x
    x = 27,354,513,664/79,408
  6. Step 6: Final answer
    x = 344,480.58

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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.