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Finding the Third Proportional to 105.25 and 230.19

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Solution

The third proportional to 105.25 and 230.19 is: 503.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.25 : 230.19 = 230.19 : x
  2. Step 2: Convert to fraction form
    105.25/230.19 = 230.19/x
  3. Step 3: Cross multiply
    105.25x = 230.19 × 230.19
  4. Step 4: Simplify right side
    105.25x = 52,986.29
  5. Step 5: Solve for x
    x = 52,986.29/105.25
  6. Step 6: Final answer
    x = 503.43

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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.