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Finding the Third Proportional to 226.90 and 360.60

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Solution

The third proportional to 226.90 and 360.60 is: 573.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.90 : 360.60 = 360.60 : x
  2. Step 2: Convert to fraction form
    226.90/360.60 = 360.60/x
  3. Step 3: Cross multiply
    226.90x = 360.60 × 360.60
  4. Step 4: Simplify right side
    226.90x = 130,030.67
  5. Step 5: Solve for x
    x = 130,030.67/226.90
  6. Step 6: Final answer
    x = 573.08

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.