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Finding the Third Proportional to 159,032.11 and 345,675.09

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Solution

The third proportional to 159,032.11 and 345,675.09 is: 751,365.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,032.11 : 345,675.09 = 345,675.09 : x
  2. Step 2: Convert to fraction form
    159,032.11/345,675.09 = 345,675.09/x
  3. Step 3: Cross multiply
    159,032.11x = 345,675.09 × 345,675.09
  4. Step 4: Simplify right side
    159,032.11x = 119,491,270,439.07
  5. Step 5: Solve for x
    x = 119,491,270,439.07/159,032.11
  6. Step 6: Final answer
    x = 751,365.69

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