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Finding the Third Proportional to 196,857 and 305,399.25

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Solution

The third proportional to 196,857 and 305,399.25 is: 473,789.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,857 : 305,399.25 = 305,399.25 : x
  2. Step 2: Convert to fraction form
    196,857/305,399.25 = 305,399.25/x
  3. Step 3: Cross multiply
    196,857x = 305,399.25 × 305,399.25
  4. Step 4: Simplify right side
    196,857x = 93,268,701,900.56
  5. Step 5: Solve for x
    x = 93,268,701,900.56/196,857
  6. Step 6: Final answer
    x = 473,789.11

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.