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Finding the Third Proportional to 197,412.50 and 313,974.75

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Solution

The third proportional to 197,412.50 and 313,974.75 is: 499,361.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,412.50 : 313,974.75 = 313,974.75 : x
  2. Step 2: Convert to fraction form
    197,412.50/313,974.75 = 313,974.75/x
  3. Step 3: Cross multiply
    197,412.50x = 313,974.75 × 313,974.75
  4. Step 4: Simplify right side
    197,412.50x = 98,580,143,637.56
  5. Step 5: Solve for x
    x = 98,580,143,637.56/197,412.50
  6. Step 6: Final answer
    x = 499,361.20

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.