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Finding the Third Proportional to 172,857 and 375,234

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Solution

The third proportional to 172,857 and 375,234 is: 814,549.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,857 : 375,234 = 375,234 : x
  2. Step 2: Convert to fraction form
    172,857/375,234 = 375,234/x
  3. Step 3: Cross multiply
    172,857x = 375,234 × 375,234
  4. Step 4: Simplify right side
    172,857x = 140,800,554,756
  5. Step 5: Solve for x
    x = 140,800,554,756/172,857
  6. Step 6: Final answer
    x = 814,549.34

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.