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Finding the Third Proportional to 107.39 and 232.08

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Solution

The third proportional to 107.39 and 232.08 is: 501.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.39 : 232.08 = 232.08 : x
  2. Step 2: Convert to fraction form
    107.39/232.08 = 232.08/x
  3. Step 3: Cross multiply
    107.39x = 232.08 × 232.08
  4. Step 4: Simplify right side
    107.39x = 53,860.26
  5. Step 5: Solve for x
    x = 53,860.26/107.39
  6. Step 6: Final answer
    x = 501.54

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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.