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Finding the Third Proportional to 150,570.56 and 200,736.56

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Solution

The third proportional to 150,570.56 and 200,736.56 is: 267,616.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,570.56 : 200,736.56 = 200,736.56 : x
  2. Step 2: Convert to fraction form
    150,570.56/200,736.56 = 200,736.56/x
  3. Step 3: Cross multiply
    150,570.56x = 200,736.56 × 200,736.56
  4. Step 4: Simplify right side
    150,570.56x = 40,295,167,524.32
  5. Step 5: Solve for x
    x = 40,295,167,524.32/150,570.56
  6. Step 6: Final answer
    x = 267,616.50

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.