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Finding the Third Proportional to 82,349 and 179,757

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Solution

The third proportional to 82,349 and 179,757 is: 392,385.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,349 : 179,757 = 179,757 : x
  2. Step 2: Convert to fraction form
    82,349/179,757 = 179,757/x
  3. Step 3: Cross multiply
    82,349x = 179,757 × 179,757
  4. Step 4: Simplify right side
    82,349x = 32,312,579,049
  5. Step 5: Solve for x
    x = 32,312,579,049/82,349
  6. Step 6: Final answer
    x = 392,385.81

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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.