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Finding the Third Proportional to 192,165.54 and 280,841.55

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Solution

The third proportional to 192,165.54 and 280,841.55 is: 410,437.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,165.54 : 280,841.55 = 280,841.55 : x
  2. Step 2: Convert to fraction form
    192,165.54/280,841.55 = 280,841.55/x
  3. Step 3: Cross multiply
    192,165.54x = 280,841.55 × 280,841.55
  4. Step 4: Simplify right side
    192,165.54x = 78,871,978,839.29
  5. Step 5: Solve for x
    x = 78,871,978,839.29/192,165.54
  6. Step 6: Final answer
    x = 410,437.68

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.