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Finding the Third Proportional to 184,880 and 264,197

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Solution

The third proportional to 184,880 and 264,197 is: 377,542.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,880 : 264,197 = 264,197 : x
  2. Step 2: Convert to fraction form
    184,880/264,197 = 264,197/x
  3. Step 3: Cross multiply
    184,880x = 264,197 × 264,197
  4. Step 4: Simplify right side
    184,880x = 69,800,054,809
  5. Step 5: Solve for x
    x = 69,800,054,809/184,880
  6. Step 6: Final answer
    x = 377,542.49

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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.