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Finding the Third Proportional to 197,268.75 and 431,451.75

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Solution

The third proportional to 197,268.75 and 431,451.75 is: 943,639.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,268.75 : 431,451.75 = 431,451.75 : x
  2. Step 2: Convert to fraction form
    197,268.75/431,451.75 = 431,451.75/x
  3. Step 3: Cross multiply
    197,268.75x = 431,451.75 × 431,451.75
  4. Step 4: Simplify right side
    197,268.75x = 186,150,612,578.06
  5. Step 5: Solve for x
    x = 186,150,612,578.06/197,268.75
  6. Step 6: Final answer
    x = 943,639.64

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.