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Finding the Third Proportional to 230.86 and 342.96

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Solution

The third proportional to 230.86 and 342.96 is: 509.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.86 : 342.96 = 342.96 : x
  2. Step 2: Convert to fraction form
    230.86/342.96 = 342.96/x
  3. Step 3: Cross multiply
    230.86x = 342.96 × 342.96
  4. Step 4: Simplify right side
    230.86x = 117,622.20
  5. Step 5: Solve for x
    x = 117,622.20/230.86
  6. Step 6: Final answer
    x = 509.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.