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Finding the Third Proportional to 255,650.50 and 400,162

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Solution

The third proportional to 255,650.50 and 400,162 is: 626,361.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,650.50 : 400,162 = 400,162 : x
  2. Step 2: Convert to fraction form
    255,650.50/400,162 = 400,162/x
  3. Step 3: Cross multiply
    255,650.50x = 400,162 × 400,162
  4. Step 4: Simplify right side
    255,650.50x = 160,129,626,244
  5. Step 5: Solve for x
    x = 160,129,626,244/255,650.50
  6. Step 6: Final answer
    x = 626,361.48

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.