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Finding the Third Proportional to 184,198 and 330,488

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Solution

The third proportional to 184,198 and 330,488 is: 592,961.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,198 : 330,488 = 330,488 : x
  2. Step 2: Convert to fraction form
    184,198/330,488 = 330,488/x
  3. Step 3: Cross multiply
    184,198x = 330,488 × 330,488
  4. Step 4: Simplify right side
    184,198x = 109,222,318,144
  5. Step 5: Solve for x
    x = 109,222,318,144/184,198
  6. Step 6: Final answer
    x = 592,961.48

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Why These Related Problems?

These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.