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Finding the Third Proportional to 170,646.75 and 374,842.69

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Solution

The third proportional to 170,646.75 and 374,842.69 is: 823,379.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,646.75 : 374,842.69 = 374,842.69 : x
  2. Step 2: Convert to fraction form
    170,646.75/374,842.69 = 374,842.69/x
  3. Step 3: Cross multiply
    170,646.75x = 374,842.69 × 374,842.69
  4. Step 4: Simplify right side
    170,646.75x = 140,507,040,372.22
  5. Step 5: Solve for x
    x = 140,507,040,372.22/170,646.75
  6. Step 6: Final answer
    x = 823,379.53

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.