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Finding the Third Proportional to 203,476 and 295,962

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Solution

The third proportional to 203,476 and 295,962 is: 430,485.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,476 : 295,962 = 295,962 : x
  2. Step 2: Convert to fraction form
    203,476/295,962 = 295,962/x
  3. Step 3: Cross multiply
    203,476x = 295,962 × 295,962
  4. Step 4: Simplify right side
    203,476x = 87,593,505,444
  5. Step 5: Solve for x
    x = 87,593,505,444/203,476
  6. Step 6: Final answer
    x = 430,485.69

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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.