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Finding the Third Proportional to 150,666.75 and 204,624.56

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Solution

The third proportional to 150,666.75 and 204,624.56 is: 277,906.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,666.75 : 204,624.56 = 204,624.56 : x
  2. Step 2: Convert to fraction form
    150,666.75/204,624.56 = 204,624.56/x
  3. Step 3: Cross multiply
    150,666.75x = 204,624.56 × 204,624.56
  4. Step 4: Simplify right side
    150,666.75x = 41,871,211,578.32
  5. Step 5: Solve for x
    x = 41,871,211,578.32/150,666.75
  6. Step 6: Final answer
    x = 277,906.12

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.