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Finding the Third Proportional to 225.63 and 304.63

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Solution

The third proportional to 225.63 and 304.63 is: 411.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.63 : 304.63 = 304.63 : x
  2. Step 2: Convert to fraction form
    225.63/304.63 = 304.63/x
  3. Step 3: Cross multiply
    225.63x = 304.63 × 304.63
  4. Step 4: Simplify right side
    225.63x = 92,796.39
  5. Step 5: Solve for x
    x = 92,796.39/225.63
  6. Step 6: Final answer
    x = 411.29

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.