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Finding the Third Proportional to 113.06 and 230.63

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Solution

The third proportional to 113.06 and 230.63 is: 470.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.06 : 230.63 = 230.63 : x
  2. Step 2: Convert to fraction form
    113.06/230.63 = 230.63/x
  3. Step 3: Cross multiply
    113.06x = 230.63 × 230.63
  4. Step 4: Simplify right side
    113.06x = 53,187.89
  5. Step 5: Solve for x
    x = 53,187.89/113.06
  6. Step 6: Final answer
    x = 470.43

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.