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Finding the Third Proportional to 182,176 and 395,456

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Solution

The third proportional to 182,176 and 395,456 is: 858,430.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,176 : 395,456 = 395,456 : x
  2. Step 2: Convert to fraction form
    182,176/395,456 = 395,456/x
  3. Step 3: Cross multiply
    182,176x = 395,456 × 395,456
  4. Step 4: Simplify right side
    182,176x = 156,385,447,936
  5. Step 5: Solve for x
    x = 156,385,447,936/182,176
  6. Step 6: Final answer
    x = 858,430.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.