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Finding the Third Proportional to 133,374.75 and 237,144.75

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Solution

The third proportional to 133,374.75 and 237,144.75 is: 421,651.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,374.75 : 237,144.75 = 237,144.75 : x
  2. Step 2: Convert to fraction form
    133,374.75/237,144.75 = 237,144.75/x
  3. Step 3: Cross multiply
    133,374.75x = 237,144.75 × 237,144.75
  4. Step 4: Simplify right side
    133,374.75x = 56,237,632,452.56
  5. Step 5: Solve for x
    x = 56,237,632,452.56/133,374.75
  6. Step 6: Final answer
    x = 421,651.27

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.