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Finding the Third Proportional to 79,354 and 165,284

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Solution

The third proportional to 79,354 and 165,284 is: 344,264.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,354 : 165,284 = 165,284 : x
  2. Step 2: Convert to fraction form
    79,354/165,284 = 165,284/x
  3. Step 3: Cross multiply
    79,354x = 165,284 × 165,284
  4. Step 4: Simplify right side
    79,354x = 27,318,800,656
  5. Step 5: Solve for x
    x = 27,318,800,656/79,354
  6. Step 6: Final answer
    x = 344,264.95

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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.