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Finding the Third Proportional to 150,867.56 and 223,696.69

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Solution

The third proportional to 150,867.56 and 223,696.69 is: 331,683.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,867.56 : 223,696.69 = 223,696.69 : x
  2. Step 2: Convert to fraction form
    150,867.56/223,696.69 = 223,696.69/x
  3. Step 3: Cross multiply
    150,867.56x = 223,696.69 × 223,696.69
  4. Step 4: Simplify right side
    150,867.56x = 50,040,207,998.47
  5. Step 5: Solve for x
    x = 50,040,207,998.47/150,867.56
  6. Step 6: Final answer
    x = 331,683.02

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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.