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Finding the Third Proportional to 184,013 and 394,258

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Solution

The third proportional to 184,013 and 394,258 is: 844,719.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,013 : 394,258 = 394,258 : x
  2. Step 2: Convert to fraction form
    184,013/394,258 = 394,258/x
  3. Step 3: Cross multiply
    184,013x = 394,258 × 394,258
  4. Step 4: Simplify right side
    184,013x = 155,439,370,564
  5. Step 5: Solve for x
    x = 155,439,370,564/184,013
  6. Step 6: Final answer
    x = 844,719.51

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.