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Finding the Third Proportional to 150,636 and 214,152.75

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Solution

The third proportional to 150,636 and 214,152.75 is: 304,451.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,636 : 214,152.75 = 214,152.75 : x
  2. Step 2: Convert to fraction form
    150,636/214,152.75 = 214,152.75/x
  3. Step 3: Cross multiply
    150,636x = 214,152.75 × 214,152.75
  4. Step 4: Simplify right side
    150,636x = 45,861,400,332.56
  5. Step 5: Solve for x
    x = 45,861,400,332.56/150,636
  6. Step 6: Final answer
    x = 304,451.79

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.