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Finding the Third Proportional to 178,857 and 250,686

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Solution

The third proportional to 178,857 and 250,686 is: 351,361.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,857 : 250,686 = 250,686 : x
  2. Step 2: Convert to fraction form
    178,857/250,686 = 250,686/x
  3. Step 3: Cross multiply
    178,857x = 250,686 × 250,686
  4. Step 4: Simplify right side
    178,857x = 62,843,470,596
  5. Step 5: Solve for x
    x = 62,843,470,596/178,857
  6. Step 6: Final answer
    x = 351,361.54

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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.