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Finding the Third Proportional to 128,827.97 and 276,731.44

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Solution

The third proportional to 128,827.97 and 276,731.44 is: 594,438.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,827.97 : 276,731.44 = 276,731.44 : x
  2. Step 2: Convert to fraction form
    128,827.97/276,731.44 = 276,731.44/x
  3. Step 3: Cross multiply
    128,827.97x = 276,731.44 × 276,731.44
  4. Step 4: Simplify right side
    128,827.97x = 76,580,288,500.82
  5. Step 5: Solve for x
    x = 76,580,288,500.82/128,827.97
  6. Step 6: Final answer
    x = 594,438.38

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.