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Finding the Third Proportional to 178,054 and 379,273

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Solution

The third proportional to 178,054 and 379,273 is: 807,889.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,054 : 379,273 = 379,273 : x
  2. Step 2: Convert to fraction form
    178,054/379,273 = 379,273/x
  3. Step 3: Cross multiply
    178,054x = 379,273 × 379,273
  4. Step 4: Simplify right side
    178,054x = 143,848,008,529
  5. Step 5: Solve for x
    x = 143,848,008,529/178,054
  6. Step 6: Final answer
    x = 807,889.79

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.