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Finding the Third Proportional to 198,326 and 302,137

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Solution

The third proportional to 198,326 and 302,137 is: 460,286.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,326 : 302,137 = 302,137 : x
  2. Step 2: Convert to fraction form
    198,326/302,137 = 302,137/x
  3. Step 3: Cross multiply
    198,326x = 302,137 × 302,137
  4. Step 4: Simplify right side
    198,326x = 91,286,766,769
  5. Step 5: Solve for x
    x = 91,286,766,769/198,326
  6. Step 6: Final answer
    x = 460,286.43

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.