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Finding the Third Proportional to 197,203.50 and 430,879.50

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Solution

The third proportional to 197,203.50 and 430,879.50 is: 941,449.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,203.50 : 430,879.50 = 430,879.50 : x
  2. Step 2: Convert to fraction form
    197,203.50/430,879.50 = 430,879.50/x
  3. Step 3: Cross multiply
    197,203.50x = 430,879.50 × 430,879.50
  4. Step 4: Simplify right side
    197,203.50x = 185,657,143,520.25
  5. Step 5: Solve for x
    x = 185,657,143,520.25/197,203.50
  6. Step 6: Final answer
    x = 941,449.54

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Why These Related Problems?

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