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Finding the Third Proportional to 171,694.69 and 262,647.56

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Solution

The third proportional to 171,694.69 and 262,647.56 is: 401,781.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,694.69 : 262,647.56 = 262,647.56 : x
  2. Step 2: Convert to fraction form
    171,694.69/262,647.56 = 262,647.56/x
  3. Step 3: Cross multiply
    171,694.69x = 262,647.56 × 262,647.56
  4. Step 4: Simplify right side
    171,694.69x = 68,983,742,087.19
  5. Step 5: Solve for x
    x = 68,983,742,087.19/171,694.69
  6. Step 6: Final answer
    x = 401,781.46

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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.