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Finding the Third Proportional to 84,508 and 179,382

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Solution

The third proportional to 84,508 and 179,382 is: 380,767.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,508 : 179,382 = 179,382 : x
  2. Step 2: Convert to fraction form
    84,508/179,382 = 179,382/x
  3. Step 3: Cross multiply
    84,508x = 179,382 × 179,382
  4. Step 4: Simplify right side
    84,508x = 32,177,901,924
  5. Step 5: Solve for x
    x = 32,177,901,924/84,508
  6. Step 6: Final answer
    x = 380,767.52

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.