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Finding the Third Proportional to 150,371.44 and 204,278.63

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Solution

The third proportional to 150,371.44 and 204,278.63 is: 277,511.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,371.44 : 204,278.63 = 204,278.63 : x
  2. Step 2: Convert to fraction form
    150,371.44/204,278.63 = 204,278.63/x
  3. Step 3: Cross multiply
    150,371.44x = 204,278.63 × 204,278.63
  4. Step 4: Simplify right side
    150,371.44x = 41,729,756,631.89
  5. Step 5: Solve for x
    x = 41,729,756,631.89/150,371.44
  6. Step 6: Final answer
    x = 277,511.19

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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.