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Finding the Third Proportional to 187,714 and 378,500

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Solution

The third proportional to 187,714 and 378,500 is: 763,194.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,714 : 378,500 = 378,500 : x
  2. Step 2: Convert to fraction form
    187,714/378,500 = 378,500/x
  3. Step 3: Cross multiply
    187,714x = 378,500 × 378,500
  4. Step 4: Simplify right side
    187,714x = 143,262,250,000
  5. Step 5: Solve for x
    x = 143,262,250,000/187,714
  6. Step 6: Final answer
    x = 763,194.27

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.