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Finding the Third Proportional to 201,879 and 434,859.75

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Solution

The third proportional to 201,879 and 434,859.75 is: 936,714.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,879 : 434,859.75 = 434,859.75 : x
  2. Step 2: Convert to fraction form
    201,879/434,859.75 = 434,859.75/x
  3. Step 3: Cross multiply
    201,879x = 434,859.75 × 434,859.75
  4. Step 4: Simplify right side
    201,879x = 189,103,002,170.06
  5. Step 5: Solve for x
    x = 189,103,002,170.06/201,879
  6. Step 6: Final answer
    x = 936,714.58

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.