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Finding the Third Proportional to 196,144.43 and 263,920.07

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Solution

The third proportional to 196,144.43 and 263,920.07 is: 355,114.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,144.43 : 263,920.07 = 263,920.07 : x
  2. Step 2: Convert to fraction form
    196,144.43/263,920.07 = 263,920.07/x
  3. Step 3: Cross multiply
    196,144.43x = 263,920.07 × 263,920.07
  4. Step 4: Simplify right side
    196,144.43x = 69,653,802,998.28
  5. Step 5: Solve for x
    x = 69,653,802,998.28/196,144.43
  6. Step 6: Final answer
    x = 355,114.87

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.