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Finding the Third Proportional to 183,467 and 396,886

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Solution

The third proportional to 183,467 and 396,886 is: 858,565.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,467 : 396,886 = 396,886 : x
  2. Step 2: Convert to fraction form
    183,467/396,886 = 396,886/x
  3. Step 3: Cross multiply
    183,467x = 396,886 × 396,886
  4. Step 4: Simplify right side
    183,467x = 157,518,496,996
  5. Step 5: Solve for x
    x = 157,518,496,996/183,467
  6. Step 6: Final answer
    x = 858,565.83

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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.