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Finding the Third Proportional to 104,750 and 227,714

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Solution

The third proportional to 104,750 and 227,714 is: 495,023.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,750 : 227,714 = 227,714 : x
  2. Step 2: Convert to fraction form
    104,750/227,714 = 227,714/x
  3. Step 3: Cross multiply
    104,750x = 227,714 × 227,714
  4. Step 4: Simplify right side
    104,750x = 51,853,665,796
  5. Step 5: Solve for x
    x = 51,853,665,796/104,750
  6. Step 6: Final answer
    x = 495,023.06

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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.