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Finding the Third Proportional to 229.50 and 363.25

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Solution

The third proportional to 229.50 and 363.25 is: 574.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.50 : 363.25 = 363.25 : x
  2. Step 2: Convert to fraction form
    229.50/363.25 = 363.25/x
  3. Step 3: Cross multiply
    229.50x = 363.25 × 363.25
  4. Step 4: Simplify right side
    229.50x = 131,950.56
  5. Step 5: Solve for x
    x = 131,950.56/229.50
  6. Step 6: Final answer
    x = 574.95

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.