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Finding the Third Proportional to 226,288.31 and 311,714.44

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Solution

The third proportional to 226,288.31 and 311,714.44 is: 429,389.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,288.31 : 311,714.44 = 311,714.44 : x
  2. Step 2: Convert to fraction form
    226,288.31/311,714.44 = 311,714.44/x
  3. Step 3: Cross multiply
    226,288.31x = 311,714.44 × 311,714.44
  4. Step 4: Simplify right side
    226,288.31x = 97,165,890,545.94
  5. Step 5: Solve for x
    x = 97,165,890,545.94/226,288.31
  6. Step 6: Final answer
    x = 429,389.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.