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Finding the Third Proportional to 83,292 and 176,244

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Solution

The third proportional to 83,292 and 176,244 is: 372,928.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,292 : 176,244 = 176,244 : x
  2. Step 2: Convert to fraction form
    83,292/176,244 = 176,244/x
  3. Step 3: Cross multiply
    83,292x = 176,244 × 176,244
  4. Step 4: Simplify right side
    83,292x = 31,061,947,536
  5. Step 5: Solve for x
    x = 31,061,947,536/83,292
  6. Step 6: Final answer
    x = 372,928.34

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.