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Finding the Third Proportional to 150,900.75 and 226,369.13

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Solution

The third proportional to 150,900.75 and 226,369.13 is: 339,580.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,900.75 : 226,369.13 = 226,369.13 : x
  2. Step 2: Convert to fraction form
    150,900.75/226,369.13 = 226,369.13/x
  3. Step 3: Cross multiply
    150,900.75x = 226,369.13 × 226,369.13
  4. Step 4: Simplify right side
    150,900.75x = 51,242,980,753.27
  5. Step 5: Solve for x
    x = 51,242,980,753.27/150,900.75
  6. Step 6: Final answer
    x = 339,580.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.