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Finding the Third Proportional to 197,042.63 and 305,729.44

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Solution

The third proportional to 197,042.63 and 305,729.44 is: 474,366.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,042.63 : 305,729.44 = 305,729.44 : x
  2. Step 2: Convert to fraction form
    197,042.63/305,729.44 = 305,729.44/x
  3. Step 3: Cross multiply
    197,042.63x = 305,729.44 × 305,729.44
  4. Step 4: Simplify right side
    197,042.63x = 93,470,488,954.07
  5. Step 5: Solve for x
    x = 93,470,488,954.07/197,042.63
  6. Step 6: Final answer
    x = 474,366.85

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.