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Finding the Third Proportional to 143,202.94 and 298,172.39

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Solution

The third proportional to 143,202.94 and 298,172.39 is: 620,844.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,202.94 : 298,172.39 = 298,172.39 : x
  2. Step 2: Convert to fraction form
    143,202.94/298,172.39 = 298,172.39/x
  3. Step 3: Cross multiply
    143,202.94x = 298,172.39 × 298,172.39
  4. Step 4: Simplify right side
    143,202.94x = 88,906,774,531.03
  5. Step 5: Solve for x
    x = 88,906,774,531.03/143,202.94
  6. Step 6: Final answer
    x = 620,844.63

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.