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Finding the Third Proportional to 184,738 and 398,319

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Solution

The third proportional to 184,738 and 398,319 is: 858,827.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,738 : 398,319 = 398,319 : x
  2. Step 2: Convert to fraction form
    184,738/398,319 = 398,319/x
  3. Step 3: Cross multiply
    184,738x = 398,319 × 398,319
  4. Step 4: Simplify right side
    184,738x = 158,658,025,761
  5. Step 5: Solve for x
    x = 158,658,025,761/184,738
  6. Step 6: Final answer
    x = 858,827.24

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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.