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Finding the Third Proportional to 198,322 and 302,131

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Solution

The third proportional to 198,322 and 302,131 is: 460,277.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,322 : 302,131 = 302,131 : x
  2. Step 2: Convert to fraction form
    198,322/302,131 = 302,131/x
  3. Step 3: Cross multiply
    198,322x = 302,131 × 302,131
  4. Step 4: Simplify right side
    198,322x = 91,283,141,161
  5. Step 5: Solve for x
    x = 91,283,141,161/198,322
  6. Step 6: Final answer
    x = 460,277.43

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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.