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Finding the Third Proportional to 184,914 and 264,234

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Solution

The third proportional to 184,914 and 264,234 is: 377,578.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,914 : 264,234 = 264,234 : x
  2. Step 2: Convert to fraction form
    184,914/264,234 = 264,234/x
  3. Step 3: Cross multiply
    184,914x = 264,234 × 264,234
  4. Step 4: Simplify right side
    184,914x = 69,819,606,756
  5. Step 5: Solve for x
    x = 69,819,606,756/184,914
  6. Step 6: Final answer
    x = 377,578.80

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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.