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Finding the Third Proportional to 150,375.75 and 218,796.75

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Solution

The third proportional to 150,375.75 and 218,796.75 is: 318,349.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,375.75 : 218,796.75 = 218,796.75 : x
  2. Step 2: Convert to fraction form
    150,375.75/218,796.75 = 218,796.75/x
  3. Step 3: Cross multiply
    150,375.75x = 218,796.75 × 218,796.75
  4. Step 4: Simplify right side
    150,375.75x = 47,872,017,810.56
  5. Step 5: Solve for x
    x = 47,872,017,810.56/150,375.75
  6. Step 6: Final answer
    x = 318,349.32

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.