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Finding the Third Proportional to 184,009 and 269,954

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Solution

The third proportional to 184,009 and 269,954 is: 396,041.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,009 : 269,954 = 269,954 : x
  2. Step 2: Convert to fraction form
    184,009/269,954 = 269,954/x
  3. Step 3: Cross multiply
    184,009x = 269,954 × 269,954
  4. Step 4: Simplify right side
    184,009x = 72,875,162,116
  5. Step 5: Solve for x
    x = 72,875,162,116/184,009
  6. Step 6: Final answer
    x = 396,041.29

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.