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Finding the Third Proportional to 198,369.50 and 302,199

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Solution

The third proportional to 198,369.50 and 302,199 is: 460,374.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,369.50 : 302,199 = 302,199 : x
  2. Step 2: Convert to fraction form
    198,369.50/302,199 = 302,199/x
  3. Step 3: Cross multiply
    198,369.50x = 302,199 × 302,199
  4. Step 4: Simplify right side
    198,369.50x = 91,324,235,601
  5. Step 5: Solve for x
    x = 91,324,235,601/198,369.50
  6. Step 6: Final answer
    x = 460,374.38

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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.