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Finding the Third Proportional to 203,268 and 301,953

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Solution

The third proportional to 203,268 and 301,953 is: 448,548.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,268 : 301,953 = 301,953 : x
  2. Step 2: Convert to fraction form
    203,268/301,953 = 301,953/x
  3. Step 3: Cross multiply
    203,268x = 301,953 × 301,953
  4. Step 4: Simplify right side
    203,268x = 91,175,614,209
  5. Step 5: Solve for x
    x = 91,175,614,209/203,268
  6. Step 6: Final answer
    x = 448,548.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.