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Finding the Third Proportional to 82,908 and 181,368

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Solution

The third proportional to 82,908 and 181,368 is: 396,757.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,908 : 181,368 = 181,368 : x
  2. Step 2: Convert to fraction form
    82,908/181,368 = 181,368/x
  3. Step 3: Cross multiply
    82,908x = 181,368 × 181,368
  4. Step 4: Simplify right side
    82,908x = 32,894,351,424
  5. Step 5: Solve for x
    x = 32,894,351,424/82,908
  6. Step 6: Final answer
    x = 396,757.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.