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Finding the Third Proportional to 184,886 and 264,204

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Solution

The third proportional to 184,886 and 264,204 is: 377,550.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,886 : 264,204 = 264,204 : x
  2. Step 2: Convert to fraction form
    184,886/264,204 = 264,204/x
  3. Step 3: Cross multiply
    184,886x = 264,204 × 264,204
  4. Step 4: Simplify right side
    184,886x = 69,803,753,616
  5. Step 5: Solve for x
    x = 69,803,753,616/184,886
  6. Step 6: Final answer
    x = 377,550.24

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.