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Finding the Third Proportional to 138,498.75 and 298,182.38

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Solution

The third proportional to 138,498.75 and 298,182.38 is: 641,974.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,498.75 : 298,182.38 = 298,182.38 : x
  2. Step 2: Convert to fraction form
    138,498.75/298,182.38 = 298,182.38/x
  3. Step 3: Cross multiply
    138,498.75x = 298,182.38 × 298,182.38
  4. Step 4: Simplify right side
    138,498.75x = 88,912,728,760.64
  5. Step 5: Solve for x
    x = 88,912,728,760.64/138,498.75
  6. Step 6: Final answer
    x = 641,974.95

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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.