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Finding the Third Proportional to 235,686 and 485,196

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Solution

The third proportional to 235,686 and 485,196 is: 998,850.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,686 : 485,196 = 485,196 : x
  2. Step 2: Convert to fraction form
    235,686/485,196 = 485,196/x
  3. Step 3: Cross multiply
    235,686x = 485,196 × 485,196
  4. Step 4: Simplify right side
    235,686x = 235,415,158,416
  5. Step 5: Solve for x
    x = 235,415,158,416/235,686
  6. Step 6: Final answer
    x = 998,850.84

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.