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Finding the Third Proportional to 197,952.75 and 431,628.75

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Solution

The third proportional to 197,952.75 and 431,628.75 is: 941,150.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,952.75 : 431,628.75 = 431,628.75 : x
  2. Step 2: Convert to fraction form
    197,952.75/431,628.75 = 431,628.75/x
  3. Step 3: Cross multiply
    197,952.75x = 431,628.75 × 431,628.75
  4. Step 4: Simplify right side
    197,952.75x = 186,303,377,826.56
  5. Step 5: Solve for x
    x = 186,303,377,826.56/197,952.75
  6. Step 6: Final answer
    x = 941,150.74

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