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Finding the Third Proportional to 184,696 and 398,912

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Solution

The third proportional to 184,696 and 398,912 is: 861,582.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,696 : 398,912 = 398,912 : x
  2. Step 2: Convert to fraction form
    184,696/398,912 = 398,912/x
  3. Step 3: Cross multiply
    184,696x = 398,912 × 398,912
  4. Step 4: Simplify right side
    184,696x = 159,130,783,744
  5. Step 5: Solve for x
    x = 159,130,783,744/184,696
  6. Step 6: Final answer
    x = 861,582.19

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.