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Finding the Third Proportional to 107.88 and 232.63

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Solution

The third proportional to 107.88 and 232.63 is: 501.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.88 : 232.63 = 232.63 : x
  2. Step 2: Convert to fraction form
    107.88/232.63 = 232.63/x
  3. Step 3: Cross multiply
    107.88x = 232.63 × 232.63
  4. Step 4: Simplify right side
    107.88x = 54,114.39
  5. Step 5: Solve for x
    x = 54,114.39/107.88
  6. Step 6: Final answer
    x = 501.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.