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Finding the Third Proportional to 178,857 and 250,684

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Solution

The third proportional to 178,857 and 250,684 is: 351,355.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,857 : 250,684 = 250,684 : x
  2. Step 2: Convert to fraction form
    178,857/250,684 = 250,684/x
  3. Step 3: Cross multiply
    178,857x = 250,684 × 250,684
  4. Step 4: Simplify right side
    178,857x = 62,842,467,856
  5. Step 5: Solve for x
    x = 62,842,467,856/178,857
  6. Step 6: Final answer
    x = 351,355.93

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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.