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Finding the Third Proportional to 140,691.94 and 307,212.75

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Solution

The third proportional to 140,691.94 and 307,212.75 is: 670,825.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,691.94 : 307,212.75 = 307,212.75 : x
  2. Step 2: Convert to fraction form
    140,691.94/307,212.75 = 307,212.75/x
  3. Step 3: Cross multiply
    140,691.94x = 307,212.75 × 307,212.75
  4. Step 4: Simplify right side
    140,691.94x = 94,379,673,762.56
  5. Step 5: Solve for x
    x = 94,379,673,762.56/140,691.94
  6. Step 6: Final answer
    x = 670,825.03

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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.