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Finding the Third Proportional to 79,482 and 165,498

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Solution

The third proportional to 79,482 and 165,498 is: 344,601.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,482 : 165,498 = 165,498 : x
  2. Step 2: Convert to fraction form
    79,482/165,498 = 165,498/x
  3. Step 3: Cross multiply
    79,482x = 165,498 × 165,498
  4. Step 4: Simplify right side
    79,482x = 27,389,588,004
  5. Step 5: Solve for x
    x = 27,389,588,004/79,482
  6. Step 6: Final answer
    x = 344,601.14

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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.