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Finding the Third Proportional to 182,967.61 and 285,517.41

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Solution

The third proportional to 182,967.61 and 285,517.41 is: 445,544.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,967.61 : 285,517.41 = 285,517.41 : x
  2. Step 2: Convert to fraction form
    182,967.61/285,517.41 = 285,517.41/x
  3. Step 3: Cross multiply
    182,967.61x = 285,517.41 × 285,517.41
  4. Step 4: Simplify right side
    182,967.61x = 81,520,189,271.73
  5. Step 5: Solve for x
    x = 81,520,189,271.73/182,967.61
  6. Step 6: Final answer
    x = 445,544.38

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.