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Finding the Third Proportional to 185,109.75 and 393,576.75

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Solution

The third proportional to 185,109.75 and 393,576.75 is: 836,815.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,109.75 : 393,576.75 = 393,576.75 : x
  2. Step 2: Convert to fraction form
    185,109.75/393,576.75 = 393,576.75/x
  3. Step 3: Cross multiply
    185,109.75x = 393,576.75 × 393,576.75
  4. Step 4: Simplify right side
    185,109.75x = 154,902,658,140.56
  5. Step 5: Solve for x
    x = 154,902,658,140.56/185,109.75
  6. Step 6: Final answer
    x = 836,815.23

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.