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Finding the Third Proportional to 150,684.75 and 233,322.75

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Solution

The third proportional to 150,684.75 and 233,322.75 is: 361,280.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,684.75 : 233,322.75 = 233,322.75 : x
  2. Step 2: Convert to fraction form
    150,684.75/233,322.75 = 233,322.75/x
  3. Step 3: Cross multiply
    150,684.75x = 233,322.75 × 233,322.75
  4. Step 4: Simplify right side
    150,684.75x = 54,439,505,667.56
  5. Step 5: Solve for x
    x = 54,439,505,667.56/150,684.75
  6. Step 6: Final answer
    x = 361,280.79

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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.