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Finding the Third Proportional to 134,093 and 198,820

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Solution

The third proportional to 134,093 and 198,820 is: 294,790.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,093 : 198,820 = 198,820 : x
  2. Step 2: Convert to fraction form
    134,093/198,820 = 198,820/x
  3. Step 3: Cross multiply
    134,093x = 198,820 × 198,820
  4. Step 4: Simplify right side
    134,093x = 39,529,392,400
  5. Step 5: Solve for x
    x = 39,529,392,400/134,093
  6. Step 6: Final answer
    x = 294,790.87

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.