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Finding the Third Proportional to 184,866 and 264,174

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Solution

The third proportional to 184,866 and 264,174 is: 377,505.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,866 : 264,174 = 264,174 : x
  2. Step 2: Convert to fraction form
    184,866/264,174 = 264,174/x
  3. Step 3: Cross multiply
    184,866x = 264,174 × 264,174
  4. Step 4: Simplify right side
    184,866x = 69,787,902,276
  5. Step 5: Solve for x
    x = 69,787,902,276/184,866
  6. Step 6: Final answer
    x = 377,505.34

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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.