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Finding the Third Proportional to 150,731.44 and 313,866.70

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Solution

The third proportional to 150,731.44 and 313,866.70 is: 653,561.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,731.44 : 313,866.70 = 313,866.70 : x
  2. Step 2: Convert to fraction form
    150,731.44/313,866.70 = 313,866.70/x
  3. Step 3: Cross multiply
    150,731.44x = 313,866.70 × 313,866.70
  4. Step 4: Simplify right side
    150,731.44x = 98,512,307,330.56
  5. Step 5: Solve for x
    x = 98,512,307,330.56/150,731.44
  6. Step 6: Final answer
    x = 653,561.78

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.