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Finding the Third Proportional to 203,825 and 336,873

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Solution

The third proportional to 203,825 and 336,873 is: 556,768.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,825 : 336,873 = 336,873 : x
  2. Step 2: Convert to fraction form
    203,825/336,873 = 336,873/x
  3. Step 3: Cross multiply
    203,825x = 336,873 × 336,873
  4. Step 4: Simplify right side
    203,825x = 113,483,418,129
  5. Step 5: Solve for x
    x = 113,483,418,129/203,825
  6. Step 6: Final answer
    x = 556,768.89

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.