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Finding the Third Proportional to 81,844 and 179,308

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Solution

The third proportional to 81,844 and 179,308 is: 392,837.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,844 : 179,308 = 179,308 : x
  2. Step 2: Convert to fraction form
    81,844/179,308 = 179,308/x
  3. Step 3: Cross multiply
    81,844x = 179,308 × 179,308
  4. Step 4: Simplify right side
    81,844x = 32,151,358,864
  5. Step 5: Solve for x
    x = 32,151,358,864/81,844
  6. Step 6: Final answer
    x = 392,837.09

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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.