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Finding the Third Proportional to 133,008 and 285,504

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Solution

The third proportional to 133,008 and 285,504 is: 612,839.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,008 : 285,504 = 285,504 : x
  2. Step 2: Convert to fraction form
    133,008/285,504 = 285,504/x
  3. Step 3: Cross multiply
    133,008x = 285,504 × 285,504
  4. Step 4: Simplify right side
    133,008x = 81,512,534,016
  5. Step 5: Solve for x
    x = 81,512,534,016/133,008
  6. Step 6: Final answer
    x = 612,839.33

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.