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Finding the Third Proportional to 146,787 and 226,812

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Solution

The third proportional to 146,787 and 226,812 is: 350,464.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,787 : 226,812 = 226,812 : x
  2. Step 2: Convert to fraction form
    146,787/226,812 = 226,812/x
  3. Step 3: Cross multiply
    146,787x = 226,812 × 226,812
  4. Step 4: Simplify right side
    146,787x = 51,443,683,344
  5. Step 5: Solve for x
    x = 51,443,683,344/146,787
  6. Step 6: Final answer
    x = 350,464.85

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.