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Finding the Third Proportional to 78,794 and 182,224

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Solution

The third proportional to 78,794 and 182,224 is: 421,422.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,794 : 182,224 = 182,224 : x
  2. Step 2: Convert to fraction form
    78,794/182,224 = 182,224/x
  3. Step 3: Cross multiply
    78,794x = 182,224 × 182,224
  4. Step 4: Simplify right side
    78,794x = 33,205,586,176
  5. Step 5: Solve for x
    x = 33,205,586,176/78,794
  6. Step 6: Final answer
    x = 421,422.78

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.