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Finding the Third Proportional to 182,384 and 280,164

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Solution

The third proportional to 182,384 and 280,164 is: 430,365.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,384 : 280,164 = 280,164 : x
  2. Step 2: Convert to fraction form
    182,384/280,164 = 280,164/x
  3. Step 3: Cross multiply
    182,384x = 280,164 × 280,164
  4. Step 4: Simplify right side
    182,384x = 78,491,866,896
  5. Step 5: Solve for x
    x = 78,491,866,896/182,384
  6. Step 6: Final answer
    x = 430,365.97

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.