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Finding the Third Proportional to 205,769.75 and 449,245

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Solution

The third proportional to 205,769.75 and 449,245 is: 980,810.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,769.75 : 449,245 = 449,245 : x
  2. Step 2: Convert to fraction form
    205,769.75/449,245 = 449,245/x
  3. Step 3: Cross multiply
    205,769.75x = 449,245 × 449,245
  4. Step 4: Simplify right side
    205,769.75x = 201,821,070,025
  5. Step 5: Solve for x
    x = 201,821,070,025/205,769.75
  6. Step 6: Final answer
    x = 980,810.20

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.