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Finding the Third Proportional to 134,399.25 and 209,769.75

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Solution

The third proportional to 134,399.25 and 209,769.75 is: 327,407.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,399.25 : 209,769.75 = 209,769.75 : x
  2. Step 2: Convert to fraction form
    134,399.25/209,769.75 = 209,769.75/x
  3. Step 3: Cross multiply
    134,399.25x = 209,769.75 × 209,769.75
  4. Step 4: Simplify right side
    134,399.25x = 44,003,348,015.06
  5. Step 5: Solve for x
    x = 44,003,348,015.06/134,399.25
  6. Step 6: Final answer
    x = 327,407.69

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.