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Finding the Third Proportional to 155.44 and 354.44

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Solution

The third proportional to 155.44 and 354.44 is: 808.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.44 : 354.44 = 354.44 : x
  2. Step 2: Convert to fraction form
    155.44/354.44 = 354.44/x
  3. Step 3: Cross multiply
    155.44x = 354.44 × 354.44
  4. Step 4: Simplify right side
    155.44x = 125,625.94
  5. Step 5: Solve for x
    x = 125,625.94/155.44
  6. Step 6: Final answer
    x = 808.21

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.