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Finding the Third Proportional to 133,520 and 285,994

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Solution

The third proportional to 133,520 and 285,994 is: 612,586.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,520 : 285,994 = 285,994 : x
  2. Step 2: Convert to fraction form
    133,520/285,994 = 285,994/x
  3. Step 3: Cross multiply
    133,520x = 285,994 × 285,994
  4. Step 4: Simplify right side
    133,520x = 81,792,568,036
  5. Step 5: Solve for x
    x = 81,792,568,036/133,520
  6. Step 6: Final answer
    x = 612,586.64

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.