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Finding the Third Proportional to 150,852.94 and 223,668.56

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Solution

The third proportional to 150,852.94 and 223,668.56 is: 331,631.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,852.94 : 223,668.56 = 223,668.56 : x
  2. Step 2: Convert to fraction form
    150,852.94/223,668.56 = 223,668.56/x
  3. Step 3: Cross multiply
    150,852.94x = 223,668.56 × 223,668.56
  4. Step 4: Simplify right side
    150,852.94x = 50,027,625,850.82
  5. Step 5: Solve for x
    x = 50,027,625,850.82/150,852.94
  6. Step 6: Final answer
    x = 331,631.76

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.