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Finding the Third Proportional to 203,434 and 295,917

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Solution

The third proportional to 203,434 and 295,917 is: 430,443.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,434 : 295,917 = 295,917 : x
  2. Step 2: Convert to fraction form
    203,434/295,917 = 295,917/x
  3. Step 3: Cross multiply
    203,434x = 295,917 × 295,917
  4. Step 4: Simplify right side
    203,434x = 87,566,870,889
  5. Step 5: Solve for x
    x = 87,566,870,889/203,434
  6. Step 6: Final answer
    x = 430,443.64

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.