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Finding the Third Proportional to 170,996.06 and 371,197.69

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Solution

The third proportional to 170,996.06 and 371,197.69 is: 805,794.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,996.06 : 371,197.69 = 371,197.69 : x
  2. Step 2: Convert to fraction form
    170,996.06/371,197.69 = 371,197.69/x
  3. Step 3: Cross multiply
    170,996.06x = 371,197.69 × 371,197.69
  4. Step 4: Simplify right side
    170,996.06x = 137,787,723,205.35
  5. Step 5: Solve for x
    x = 137,787,723,205.35/170,996.06
  6. Step 6: Final answer
    x = 805,794.71

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.