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Finding the Third Proportional to 203,283 and 301,983

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Solution

The third proportional to 203,283 and 301,983 is: 448,604.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,283 : 301,983 = 301,983 : x
  2. Step 2: Convert to fraction form
    203,283/301,983 = 301,983/x
  3. Step 3: Cross multiply
    203,283x = 301,983 × 301,983
  4. Step 4: Simplify right side
    203,283x = 91,193,732,289
  5. Step 5: Solve for x
    x = 91,193,732,289/203,283
  6. Step 6: Final answer
    x = 448,604.81

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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.