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Finding the Third Proportional to 184,886 and 274,611

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Solution

The third proportional to 184,886 and 274,611 is: 407,879.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,886 : 274,611 = 274,611 : x
  2. Step 2: Convert to fraction form
    184,886/274,611 = 274,611/x
  3. Step 3: Cross multiply
    184,886x = 274,611 × 274,611
  4. Step 4: Simplify right side
    184,886x = 75,411,201,321
  5. Step 5: Solve for x
    x = 75,411,201,321/184,886
  6. Step 6: Final answer
    x = 407,879.46

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.