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Finding the Third Proportional to 180,860 and 378,244

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Solution

The third proportional to 180,860 and 378,244 is: 791,045.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,860 : 378,244 = 378,244 : x
  2. Step 2: Convert to fraction form
    180,860/378,244 = 378,244/x
  3. Step 3: Cross multiply
    180,860x = 378,244 × 378,244
  4. Step 4: Simplify right side
    180,860x = 143,068,523,536
  5. Step 5: Solve for x
    x = 143,068,523,536/180,860
  6. Step 6: Final answer
    x = 791,045.69

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.