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Finding the Third Proportional to 363.50 and 525.25

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Solution

The third proportional to 363.50 and 525.25 is: 758.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.50 : 525.25 = 525.25 : x
  2. Step 2: Convert to fraction form
    363.50/525.25 = 525.25/x
  3. Step 3: Cross multiply
    363.50x = 525.25 × 525.25
  4. Step 4: Simplify right side
    363.50x = 275,887.56
  5. Step 5: Solve for x
    x = 275,887.56/363.50
  6. Step 6: Final answer
    x = 758.98

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.