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Finding the Third Proportional to 184,674 and 398,880

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Solution

The third proportional to 184,674 and 398,880 is: 861,546.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,674 : 398,880 = 398,880 : x
  2. Step 2: Convert to fraction form
    184,674/398,880 = 398,880/x
  3. Step 3: Cross multiply
    184,674x = 398,880 × 398,880
  4. Step 4: Simplify right side
    184,674x = 159,105,254,400
  5. Step 5: Solve for x
    x = 159,105,254,400/184,674
  6. Step 6: Final answer
    x = 861,546.59

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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.