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Finding the Third Proportional to 230.06 and 360.42

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Solution

The third proportional to 230.06 and 360.42 is: 564.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.06 : 360.42 = 360.42 : x
  2. Step 2: Convert to fraction form
    230.06/360.42 = 360.42/x
  3. Step 3: Cross multiply
    230.06x = 360.42 × 360.42
  4. Step 4: Simplify right side
    230.06x = 129,903.93
  5. Step 5: Solve for x
    x = 129,903.93/230.06
  6. Step 6: Final answer
    x = 564.65

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.