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Finding the Third Proportional to 197,493.75 and 297,983.25

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Solution

The third proportional to 197,493.75 and 297,983.25 is: 449,604.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,493.75 : 297,983.25 = 297,983.25 : x
  2. Step 2: Convert to fraction form
    197,493.75/297,983.25 = 297,983.25/x
  3. Step 3: Cross multiply
    197,493.75x = 297,983.25 × 297,983.25
  4. Step 4: Simplify right side
    197,493.75x = 88,794,017,280.56
  5. Step 5: Solve for x
    x = 88,794,017,280.56/197,493.75
  6. Step 6: Final answer
    x = 449,604.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.