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Finding the Third Proportional to 196,896 and 303,012

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Solution

The third proportional to 196,896 and 303,012 is: 466,318.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,896 : 303,012 = 303,012 : x
  2. Step 2: Convert to fraction form
    196,896/303,012 = 303,012/x
  3. Step 3: Cross multiply
    196,896x = 303,012 × 303,012
  4. Step 4: Simplify right side
    196,896x = 91,816,272,144
  5. Step 5: Solve for x
    x = 91,816,272,144/196,896
  6. Step 6: Final answer
    x = 466,318.63

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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.