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Finding the Third Proportional to 137,029.22 and 204,849

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Solution

The third proportional to 137,029.22 and 204,849 is: 306,234.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,029.22 : 204,849 = 204,849 : x
  2. Step 2: Convert to fraction form
    137,029.22/204,849 = 204,849/x
  3. Step 3: Cross multiply
    137,029.22x = 204,849 × 204,849
  4. Step 4: Simplify right side
    137,029.22x = 41,963,112,801
  5. Step 5: Solve for x
    x = 41,963,112,801/137,029.22
  6. Step 6: Final answer
    x = 306,234.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.