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Finding the Third Proportional to 226.31 and 362.06

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Solution

The third proportional to 226.31 and 362.06 is: 579.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.31 : 362.06 = 362.06 : x
  2. Step 2: Convert to fraction form
    226.31/362.06 = 362.06/x
  3. Step 3: Cross multiply
    226.31x = 362.06 × 362.06
  4. Step 4: Simplify right side
    226.31x = 131,089.25
  5. Step 5: Solve for x
    x = 131,089.25/226.31
  6. Step 6: Final answer
    x = 579.24

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.