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Finding the Third Proportional to 134,371.41 and 203,277.09

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Solution

The third proportional to 134,371.41 and 203,277.09 is: 307,517.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,371.41 : 203,277.09 = 203,277.09 : x
  2. Step 2: Convert to fraction form
    134,371.41/203,277.09 = 203,277.09/x
  3. Step 3: Cross multiply
    134,371.41x = 203,277.09 × 203,277.09
  4. Step 4: Simplify right side
    134,371.41x = 41,321,576,843.45
  5. Step 5: Solve for x
    x = 41,321,576,843.45/134,371.41
  6. Step 6: Final answer
    x = 307,517.63

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.