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Finding the Third Proportional to 225.02 and 302.41

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Solution

The third proportional to 225.02 and 302.41 is: 406.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.02 : 302.41 = 302.41 : x
  2. Step 2: Convert to fraction form
    225.02/302.41 = 302.41/x
  3. Step 3: Cross multiply
    225.02x = 302.41 × 302.41
  4. Step 4: Simplify right side
    225.02x = 91,448.95
  5. Step 5: Solve for x
    x = 91,448.95/225.02
  6. Step 6: Final answer
    x = 406.41

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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.