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Finding the Third Proportional to 178,832 and 365,865

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Solution

The third proportional to 178,832 and 365,865 is: 748,508.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,832 : 365,865 = 365,865 : x
  2. Step 2: Convert to fraction form
    178,832/365,865 = 365,865/x
  3. Step 3: Cross multiply
    178,832x = 365,865 × 365,865
  4. Step 4: Simplify right side
    178,832x = 133,857,198,225
  5. Step 5: Solve for x
    x = 133,857,198,225/178,832
  6. Step 6: Final answer
    x = 748,508.09

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.