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Finding the Third Proportional to 134,940 and 198,036

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Solution

The third proportional to 134,940 and 198,036 is: 290,634.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,940 : 198,036 = 198,036 : x
  2. Step 2: Convert to fraction form
    134,940/198,036 = 198,036/x
  3. Step 3: Cross multiply
    134,940x = 198,036 × 198,036
  4. Step 4: Simplify right side
    134,940x = 39,218,257,296
  5. Step 5: Solve for x
    x = 39,218,257,296/134,940
  6. Step 6: Final answer
    x = 290,634.78

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.