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Finding the Third Proportional to 255.88 and 396.88

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Solution

The third proportional to 255.88 and 396.88 is: 615.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.88 : 396.88 = 396.88 : x
  2. Step 2: Convert to fraction form
    255.88/396.88 = 396.88/x
  3. Step 3: Cross multiply
    255.88x = 396.88 × 396.88
  4. Step 4: Simplify right side
    255.88x = 157,509.77
  5. Step 5: Solve for x
    x = 157,509.77/255.88
  6. Step 6: Final answer
    x = 615.57

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.