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Finding the Third Proportional to 226.63 and 485.38

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Solution

The third proportional to 226.63 and 485.38 is: 1,039.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.63 : 485.38 = 485.38 : x
  2. Step 2: Convert to fraction form
    226.63/485.38 = 485.38/x
  3. Step 3: Cross multiply
    226.63x = 485.38 × 485.38
  4. Step 4: Simplify right side
    226.63x = 235,588.89
  5. Step 5: Solve for x
    x = 235,588.89/226.63
  6. Step 6: Final answer
    x = 1,039.55

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.