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Finding the Third Proportional to 206,884.13 and 269,426.25

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Solution

The third proportional to 206,884.13 and 269,426.25 is: 350,875.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,884.13 : 269,426.25 = 269,426.25 : x
  2. Step 2: Convert to fraction form
    206,884.13/269,426.25 = 269,426.25/x
  3. Step 3: Cross multiply
    206,884.13x = 269,426.25 × 269,426.25
  4. Step 4: Simplify right side
    206,884.13x = 72,590,504,189.06
  5. Step 5: Solve for x
    x = 72,590,504,189.06/206,884.13
  6. Step 6: Final answer
    x = 350,875.18

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These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.