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Finding the Third Proportional to 355.41 and 552.28

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Solution

The third proportional to 355.41 and 552.28 is: 858.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.41 : 552.28 = 552.28 : x
  2. Step 2: Convert to fraction form
    355.41/552.28 = 552.28/x
  3. Step 3: Cross multiply
    355.41x = 552.28 × 552.28
  4. Step 4: Simplify right side
    355.41x = 305,014.58
  5. Step 5: Solve for x
    x = 305,014.58/355.41
  6. Step 6: Final answer
    x = 858.21

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Why These Related Problems?

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