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Finding the Third Proportional to 175,917 and 384,093

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Solution

The third proportional to 175,917 and 384,093 is: 838,619.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,917 : 384,093 = 384,093 : x
  2. Step 2: Convert to fraction form
    175,917/384,093 = 384,093/x
  3. Step 3: Cross multiply
    175,917x = 384,093 × 384,093
  4. Step 4: Simplify right side
    175,917x = 147,527,432,649
  5. Step 5: Solve for x
    x = 147,527,432,649/175,917
  6. Step 6: Final answer
    x = 838,619.53

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.