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Finding the Third Proportional to 116,578.13 and 209,166.75

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Solution

The third proportional to 116,578.13 and 209,166.75 is: 375,291.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,578.13 : 209,166.75 = 209,166.75 : x
  2. Step 2: Convert to fraction form
    116,578.13/209,166.75 = 209,166.75/x
  3. Step 3: Cross multiply
    116,578.13x = 209,166.75 × 209,166.75
  4. Step 4: Simplify right side
    116,578.13x = 43,750,729,305.56
  5. Step 5: Solve for x
    x = 43,750,729,305.56/116,578.13
  6. Step 6: Final answer
    x = 375,291.07

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These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.