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Finding the Third Proportional to 82,238 and 179,350

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Solution

The third proportional to 82,238 and 179,350 is: 391,138.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,238 : 179,350 = 179,350 : x
  2. Step 2: Convert to fraction form
    82,238/179,350 = 179,350/x
  3. Step 3: Cross multiply
    82,238x = 179,350 × 179,350
  4. Step 4: Simplify right side
    82,238x = 32,166,422,500
  5. Step 5: Solve for x
    x = 32,166,422,500/82,238
  6. Step 6: Final answer
    x = 391,138.19

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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.