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Finding the Third Proportional to 230 and 300.50

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Solution

The third proportional to 230 and 300.50 is: 392.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    230 : 300.50 = 300.50 : x
  2. Step 2: Convert to fraction form
    230/300.50 = 300.50/x
  3. Step 3: Cross multiply
    230x = 300.50 × 300.50
  4. Step 4: Simplify right side
    230x = 90,300.25
  5. Step 5: Solve for x
    x = 90,300.25/230
  6. Step 6: Final answer
    x = 392.61

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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.