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Finding the Third Proportional to 75,443 and 165,394

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Solution

The third proportional to 75,443 and 165,394 is: 362,593.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,443 : 165,394 = 165,394 : x
  2. Step 2: Convert to fraction form
    75,443/165,394 = 165,394/x
  3. Step 3: Cross multiply
    75,443x = 165,394 × 165,394
  4. Step 4: Simplify right side
    75,443x = 27,355,175,236
  5. Step 5: Solve for x
    x = 27,355,175,236/75,443
  6. Step 6: Final answer
    x = 362,593.95

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.