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Finding the Third Proportional to 178,847 and 250,671

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Solution

The third proportional to 178,847 and 250,671 is: 351,339.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,847 : 250,671 = 250,671 : x
  2. Step 2: Convert to fraction form
    178,847/250,671 = 250,671/x
  3. Step 3: Cross multiply
    178,847x = 250,671 × 250,671
  4. Step 4: Simplify right side
    178,847x = 62,835,950,241
  5. Step 5: Solve for x
    x = 62,835,950,241/178,847
  6. Step 6: Final answer
    x = 351,339.13

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.