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Finding the Third Proportional to 357.22 and 552.29

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Solution

The third proportional to 357.22 and 552.29 is: 853.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.22 : 552.29 = 552.29 : x
  2. Step 2: Convert to fraction form
    357.22/552.29 = 552.29/x
  3. Step 3: Cross multiply
    357.22x = 552.29 × 552.29
  4. Step 4: Simplify right side
    357.22x = 305,021.05
  5. Step 5: Solve for x
    x = 305,021.05/357.22
  6. Step 6: Final answer
    x = 853.87

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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.