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Finding the Third Proportional to 107.88 and 243.63

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Solution

The third proportional to 107.88 and 243.63 is: 550.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.88 : 243.63 = 243.63 : x
  2. Step 2: Convert to fraction form
    107.88/243.63 = 243.63/x
  3. Step 3: Cross multiply
    107.88x = 243.63 × 243.63
  4. Step 4: Simplify right side
    107.88x = 59,353.14
  5. Step 5: Solve for x
    x = 59,353.14/107.88
  6. Step 6: Final answer
    x = 550.20

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.