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Finding the Third Proportional to 196,183.69 and 287,268.19

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Solution

The third proportional to 196,183.69 and 287,268.19 is: 420,641.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,183.69 : 287,268.19 = 287,268.19 : x
  2. Step 2: Convert to fraction form
    196,183.69/287,268.19 = 287,268.19/x
  3. Step 3: Cross multiply
    196,183.69x = 287,268.19 × 287,268.19
  4. Step 4: Simplify right side
    196,183.69x = 82,523,011,549.54
  5. Step 5: Solve for x
    x = 82,523,011,549.54/196,183.69
  6. Step 6: Final answer
    x = 420,641.56

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.