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Finding the Third Proportional to 221.63 and 302.63

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Solution

The third proportional to 221.63 and 302.63 is: 413.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.63 : 302.63 = 302.63 : x
  2. Step 2: Convert to fraction form
    221.63/302.63 = 302.63/x
  3. Step 3: Cross multiply
    221.63x = 302.63 × 302.63
  4. Step 4: Simplify right side
    221.63x = 91,581.89
  5. Step 5: Solve for x
    x = 91,581.89/221.63
  6. Step 6: Final answer
    x = 413.23

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.