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Finding the Third Proportional to 179,188 and 376,764

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Solution

The third proportional to 179,188 and 376,764 is: 792,190.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,188 : 376,764 = 376,764 : x
  2. Step 2: Convert to fraction form
    179,188/376,764 = 376,764/x
  3. Step 3: Cross multiply
    179,188x = 376,764 × 376,764
  4. Step 4: Simplify right side
    179,188x = 141,951,111,696
  5. Step 5: Solve for x
    x = 141,951,111,696/179,188
  6. Step 6: Final answer
    x = 792,190.95

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.