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Finding the Third Proportional to 155,856 and 222,868

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Solution

The third proportional to 155,856 and 222,868 is: 318,692.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,856 : 222,868 = 222,868 : x
  2. Step 2: Convert to fraction form
    155,856/222,868 = 222,868/x
  3. Step 3: Cross multiply
    155,856x = 222,868 × 222,868
  4. Step 4: Simplify right side
    155,856x = 49,670,145,424
  5. Step 5: Solve for x
    x = 49,670,145,424/155,856
  6. Step 6: Final answer
    x = 318,692.55

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.