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Finding the Third Proportional to 184,936 and 294,009

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Solution

The third proportional to 184,936 and 294,009 is: 467,411.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,936 : 294,009 = 294,009 : x
  2. Step 2: Convert to fraction form
    184,936/294,009 = 294,009/x
  3. Step 3: Cross multiply
    184,936x = 294,009 × 294,009
  4. Step 4: Simplify right side
    184,936x = 86,441,292,081
  5. Step 5: Solve for x
    x = 86,441,292,081/184,936
  6. Step 6: Final answer
    x = 467,411.93

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.