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Finding the Third Proportional to 184,745 and 398,318

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Solution

The third proportional to 184,745 and 398,318 is: 858,790.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,745 : 398,318 = 398,318 : x
  2. Step 2: Convert to fraction form
    184,745/398,318 = 398,318/x
  3. Step 3: Cross multiply
    184,745x = 398,318 × 398,318
  4. Step 4: Simplify right side
    184,745x = 158,657,229,124
  5. Step 5: Solve for x
    x = 158,657,229,124/184,745
  6. Step 6: Final answer
    x = 858,790.38

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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.