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Finding the Third Proportional to 226.56 and 493.56

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Solution

The third proportional to 226.56 and 493.56 is: 1,075.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.56 : 493.56 = 493.56 : x
  2. Step 2: Convert to fraction form
    226.56/493.56 = 493.56/x
  3. Step 3: Cross multiply
    226.56x = 493.56 × 493.56
  4. Step 4: Simplify right side
    226.56x = 243,603.94
  5. Step 5: Solve for x
    x = 243,603.94/226.56
  6. Step 6: Final answer
    x = 1,075.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.