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Finding the Third Proportional to 225.07 and 302.48

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Solution

The third proportional to 225.07 and 302.48 is: 406.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.07 : 302.48 = 302.48 : x
  2. Step 2: Convert to fraction form
    225.07/302.48 = 302.48/x
  3. Step 3: Cross multiply
    225.07x = 302.48 × 302.48
  4. Step 4: Simplify right side
    225.07x = 91,496.80
  5. Step 5: Solve for x
    x = 91,496.80/225.07
  6. Step 6: Final answer
    x = 406.53

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