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Finding the Third Proportional to 189,886 and 295,199

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Solution

The third proportional to 189,886 and 295,199 is: 458,919.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,886 : 295,199 = 295,199 : x
  2. Step 2: Convert to fraction form
    189,886/295,199 = 295,199/x
  3. Step 3: Cross multiply
    189,886x = 295,199 × 295,199
  4. Step 4: Simplify right side
    189,886x = 87,142,449,601
  5. Step 5: Solve for x
    x = 87,142,449,601/189,886
  6. Step 6: Final answer
    x = 458,919.82

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.