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Finding the Third Proportional to 184,834 and 293,811

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Solution

The third proportional to 184,834 and 293,811 is: 467,040.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,834 : 293,811 = 293,811 : x
  2. Step 2: Convert to fraction form
    184,834/293,811 = 293,811/x
  3. Step 3: Cross multiply
    184,834x = 293,811 × 293,811
  4. Step 4: Simplify right side
    184,834x = 86,324,903,721
  5. Step 5: Solve for x
    x = 86,324,903,721/184,834
  6. Step 6: Final answer
    x = 467,040.18

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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.