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Finding the Third Proportional to 182,382 and 280,161

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Solution

The third proportional to 182,382 and 280,161 is: 430,361.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,382 : 280,161 = 280,161 : x
  2. Step 2: Convert to fraction form
    182,382/280,161 = 280,161/x
  3. Step 3: Cross multiply
    182,382x = 280,161 × 280,161
  4. Step 4: Simplify right side
    182,382x = 78,490,185,921
  5. Step 5: Solve for x
    x = 78,490,185,921/182,382
  6. Step 6: Final answer
    x = 430,361.47

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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.