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Finding the Third Proportional to 178,717.22 and 384,893.44

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Solution

The third proportional to 178,717.22 and 384,893.44 is: 828,923.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,717.22 : 384,893.44 = 384,893.44 : x
  2. Step 2: Convert to fraction form
    178,717.22/384,893.44 = 384,893.44/x
  3. Step 3: Cross multiply
    178,717.22x = 384,893.44 × 384,893.44
  4. Step 4: Simplify right side
    178,717.22x = 148,142,958,230.57
  5. Step 5: Solve for x
    x = 148,142,958,230.57/178,717.22
  6. Step 6: Final answer
    x = 828,923.81

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.