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Finding the Third Proportional to 184,734 and 398,313

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Solution

The third proportional to 184,734 and 398,313 is: 858,819.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,734 : 398,313 = 398,313 : x
  2. Step 2: Convert to fraction form
    184,734/398,313 = 398,313/x
  3. Step 3: Cross multiply
    184,734x = 398,313 × 398,313
  4. Step 4: Simplify right side
    184,734x = 158,653,245,969
  5. Step 5: Solve for x
    x = 158,653,245,969/184,734
  6. Step 6: Final answer
    x = 858,819.96

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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.