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Finding the Third Proportional to 171,696.38 and 262,667.81

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Solution

The third proportional to 171,696.38 and 262,667.81 is: 401,839.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,696.38 : 262,667.81 = 262,667.81 : x
  2. Step 2: Convert to fraction form
    171,696.38/262,667.81 = 262,667.81/x
  3. Step 3: Cross multiply
    171,696.38x = 262,667.81 × 262,667.81
  4. Step 4: Simplify right side
    171,696.38x = 68,994,379,723.54
  5. Step 5: Solve for x
    x = 68,994,379,723.54/171,696.38
  6. Step 6: Final answer
    x = 401,839.47

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.