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Finding the Third Proportional to 116.63 and 232.69

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Solution

The third proportional to 116.63 and 232.69 is: 464.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.63 : 232.69 = 232.69 : x
  2. Step 2: Convert to fraction form
    116.63/232.69 = 232.69/x
  3. Step 3: Cross multiply
    116.63x = 232.69 × 232.69
  4. Step 4: Simplify right side
    116.63x = 54,143.47
  5. Step 5: Solve for x
    x = 54,143.47/116.63
  6. Step 6: Final answer
    x = 464.25

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.