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Finding the Third Proportional to 196,716.94 and 303,792.75

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Solution

The third proportional to 196,716.94 and 303,792.75 is: 469,151.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,716.94 : 303,792.75 = 303,792.75 : x
  2. Step 2: Convert to fraction form
    196,716.94/303,792.75 = 303,792.75/x
  3. Step 3: Cross multiply
    196,716.94x = 303,792.75 × 303,792.75
  4. Step 4: Simplify right side
    196,716.94x = 92,290,034,952.56
  5. Step 5: Solve for x
    x = 92,290,034,952.56/196,716.94
  6. Step 6: Final answer
    x = 469,151.44

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.