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Finding the Third Proportional to 230.75 and 505.94

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Solution

The third proportional to 230.75 and 505.94 is: 1,109.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.75 : 505.94 = 505.94 : x
  2. Step 2: Convert to fraction form
    230.75/505.94 = 505.94/x
  3. Step 3: Cross multiply
    230.75x = 505.94 × 505.94
  4. Step 4: Simplify right side
    230.75x = 255,972.75
  5. Step 5: Solve for x
    x = 255,972.75/230.75
  6. Step 6: Final answer
    x = 1,109.31

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.