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Finding the Third Proportional to 76,800 and 164,244

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Solution

The third proportional to 76,800 and 164,244 is: 351,251.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,800 : 164,244 = 164,244 : x
  2. Step 2: Convert to fraction form
    76,800/164,244 = 164,244/x
  3. Step 3: Cross multiply
    76,800x = 164,244 × 164,244
  4. Step 4: Simplify right side
    76,800x = 26,976,091,536
  5. Step 5: Solve for x
    x = 26,976,091,536/76,800
  6. Step 6: Final answer
    x = 351,251.19

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.