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Finding the Third Proportional to 144,615 and 311,429.25

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Solution

The third proportional to 144,615 and 311,429.25 is: 670,664.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,615 : 311,429.25 = 311,429.25 : x
  2. Step 2: Convert to fraction form
    144,615/311,429.25 = 311,429.25/x
  3. Step 3: Cross multiply
    144,615x = 311,429.25 × 311,429.25
  4. Step 4: Simplify right side
    144,615x = 96,988,177,755.56
  5. Step 5: Solve for x
    x = 96,988,177,755.56/144,615
  6. Step 6: Final answer
    x = 670,664.71

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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.