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Finding the Third Proportional to 82,246 and 179,366

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Solution

The third proportional to 82,246 and 179,366 is: 391,169.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,246 : 179,366 = 179,366 : x
  2. Step 2: Convert to fraction form
    82,246/179,366 = 179,366/x
  3. Step 3: Cross multiply
    82,246x = 179,366 × 179,366
  4. Step 4: Simplify right side
    82,246x = 32,172,161,956
  5. Step 5: Solve for x
    x = 32,172,161,956/82,246
  6. Step 6: Final answer
    x = 391,169.93

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.