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Finding the Third Proportional to 74,198 and 150,986

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Solution

The third proportional to 74,198 and 150,986 is: 307,242.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,198 : 150,986 = 150,986 : x
  2. Step 2: Convert to fraction form
    74,198/150,986 = 150,986/x
  3. Step 3: Cross multiply
    74,198x = 150,986 × 150,986
  4. Step 4: Simplify right side
    74,198x = 22,796,772,196
  5. Step 5: Solve for x
    x = 22,796,772,196/74,198
  6. Step 6: Final answer
    x = 307,242.41

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.