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Finding the Third Proportional to 197,295.75 and 431,493.75

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Solution

The third proportional to 197,295.75 and 431,493.75 is: 943,694.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,295.75 : 431,493.75 = 431,493.75 : x
  2. Step 2: Convert to fraction form
    197,295.75/431,493.75 = 431,493.75/x
  3. Step 3: Cross multiply
    197,295.75x = 431,493.75 × 431,493.75
  4. Step 4: Simplify right side
    197,295.75x = 186,186,856,289.06
  5. Step 5: Solve for x
    x = 186,186,856,289.06/197,295.75
  6. Step 6: Final answer
    x = 943,694.21

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Why These Related Problems?

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