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Finding the Third Proportional to 178,658 and 378,500

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Solution

The third proportional to 178,658 and 378,500 is: 801,879.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,658 : 378,500 = 378,500 : x
  2. Step 2: Convert to fraction form
    178,658/378,500 = 378,500/x
  3. Step 3: Cross multiply
    178,658x = 378,500 × 378,500
  4. Step 4: Simplify right side
    178,658x = 143,262,250,000
  5. Step 5: Solve for x
    x = 143,262,250,000/178,658
  6. Step 6: Final answer
    x = 801,879.85

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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.