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Finding the Third Proportional to 226,073.53 and 311,423.48

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Solution

The third proportional to 226,073.53 and 311,423.48 is: 428,995.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,073.53 : 311,423.48 = 311,423.48 : x
  2. Step 2: Convert to fraction form
    226,073.53/311,423.48 = 311,423.48/x
  3. Step 3: Cross multiply
    226,073.53x = 311,423.48 × 311,423.48
  4. Step 4: Simplify right side
    226,073.53x = 96,984,586,620.27
  5. Step 5: Solve for x
    x = 96,984,586,620.27/226,073.53
  6. Step 6: Final answer
    x = 428,995.76

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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.