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Finding the Third Proportional to 144,884 and 303,016

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Solution

The third proportional to 144,884 and 303,016 is: 633,739.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,884 : 303,016 = 303,016 : x
  2. Step 2: Convert to fraction form
    144,884/303,016 = 303,016/x
  3. Step 3: Cross multiply
    144,884x = 303,016 × 303,016
  4. Step 4: Simplify right side
    144,884x = 91,818,696,256
  5. Step 5: Solve for x
    x = 91,818,696,256/144,884
  6. Step 6: Final answer
    x = 633,739.38

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.