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Finding the Third Proportional to 203,161.29 and 301,817.39

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Solution

The third proportional to 203,161.29 and 301,817.39 is: 448,381.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,161.29 : 301,817.39 = 301,817.39 : x
  2. Step 2: Convert to fraction form
    203,161.29/301,817.39 = 301,817.39/x
  3. Step 3: Cross multiply
    203,161.29x = 301,817.39 × 301,817.39
  4. Step 4: Simplify right side
    203,161.29x = 91,093,737,283.68
  5. Step 5: Solve for x
    x = 91,093,737,283.68/203,161.29
  6. Step 6: Final answer
    x = 448,381.37

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.