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Finding the Third Proportional to 184,854 and 394,284

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Solution

The third proportional to 184,854 and 394,284 is: 840,987.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,854 : 394,284 = 394,284 : x
  2. Step 2: Convert to fraction form
    184,854/394,284 = 394,284/x
  3. Step 3: Cross multiply
    184,854x = 394,284 × 394,284
  4. Step 4: Simplify right side
    184,854x = 155,459,872,656
  5. Step 5: Solve for x
    x = 155,459,872,656/184,854
  6. Step 6: Final answer
    x = 840,987.33

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.