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Finding the Third Proportional to 226.50 and 302.88

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Solution

The third proportional to 226.50 and 302.88 is: 405.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.50 : 302.88 = 302.88 : x
  2. Step 2: Convert to fraction form
    226.50/302.88 = 302.88/x
  3. Step 3: Cross multiply
    226.50x = 302.88 × 302.88
  4. Step 4: Simplify right side
    226.50x = 91,733.27
  5. Step 5: Solve for x
    x = 91,733.27/226.50
  6. Step 6: Final answer
    x = 405.00

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.