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Finding the Third Proportional to 140,944.75 and 307,327.61

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Solution

The third proportional to 140,944.75 and 307,327.61 is: 670,122.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,944.75 : 307,327.61 = 307,327.61 : x
  2. Step 2: Convert to fraction form
    140,944.75/307,327.61 = 307,327.61/x
  3. Step 3: Cross multiply
    140,944.75x = 307,327.61 × 307,327.61
  4. Step 4: Simplify right side
    140,944.75x = 94,450,257,083.16
  5. Step 5: Solve for x
    x = 94,450,257,083.16/140,944.75
  6. Step 6: Final answer
    x = 670,122.58

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Why These Related Problems?

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