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Finding the Third Proportional to 150,671.25 and 204,629.63

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Solution

The third proportional to 150,671.25 and 204,629.63 is: 277,911.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,671.25 : 204,629.63 = 204,629.63 : x
  2. Step 2: Convert to fraction form
    150,671.25/204,629.63 = 204,629.63/x
  3. Step 3: Cross multiply
    150,671.25x = 204,629.63 × 204,629.63
  4. Step 4: Simplify right side
    150,671.25x = 41,873,283,427.64
  5. Step 5: Solve for x
    x = 41,873,283,427.64/150,671.25
  6. Step 6: Final answer
    x = 277,911.57

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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.