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Finding the Third Proportional to 178,713 and 384,884

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Solution

The third proportional to 178,713 and 384,884 is: 828,902.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,713 : 384,884 = 384,884 : x
  2. Step 2: Convert to fraction form
    178,713/384,884 = 384,884/x
  3. Step 3: Cross multiply
    178,713x = 384,884 × 384,884
  4. Step 4: Simplify right side
    178,713x = 148,135,693,456
  5. Step 5: Solve for x
    x = 148,135,693,456/178,713
  6. Step 6: Final answer
    x = 828,902.73

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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.