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Finding the Third Proportional to 140,682 and 307,194.75

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Solution

The third proportional to 140,682 and 307,194.75 is: 670,793.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,682 : 307,194.75 = 307,194.75 : x
  2. Step 2: Convert to fraction form
    140,682/307,194.75 = 307,194.75/x
  3. Step 3: Cross multiply
    140,682x = 307,194.75 × 307,194.75
  4. Step 4: Simplify right side
    140,682x = 94,368,614,427.56
  5. Step 5: Solve for x
    x = 94,368,614,427.56/140,682
  6. Step 6: Final answer
    x = 670,793.81

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.