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Finding the Third Proportional to 205,954 and 481,164

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Solution

The third proportional to 205,954 and 481,164 is: 1,124,128.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,954 : 481,164 = 481,164 : x
  2. Step 2: Convert to fraction form
    205,954/481,164 = 481,164/x
  3. Step 3: Cross multiply
    205,954x = 481,164 × 481,164
  4. Step 4: Simplify right side
    205,954x = 231,518,794,896
  5. Step 5: Solve for x
    x = 231,518,794,896/205,954
  6. Step 6: Final answer
    x = 1,124,128.66

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.