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Finding the Third Proportional to 230.34 and 366.19

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Solution

The third proportional to 230.34 and 366.19 is: 582.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.34 : 366.19 = 366.19 : x
  2. Step 2: Convert to fraction form
    230.34/366.19 = 366.19/x
  3. Step 3: Cross multiply
    230.34x = 366.19 × 366.19
  4. Step 4: Simplify right side
    230.34x = 134,093.29
  5. Step 5: Solve for x
    x = 134,093.29/230.34
  6. Step 6: Final answer
    x = 582.14

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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.