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Finding the Third Proportional to 107.44 and 237.38

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Solution

The third proportional to 107.44 and 237.38 is: 524.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.44 : 237.38 = 237.38 : x
  2. Step 2: Convert to fraction form
    107.44/237.38 = 237.38/x
  3. Step 3: Cross multiply
    107.44x = 237.38 × 237.38
  4. Step 4: Simplify right side
    107.44x = 56,346.89
  5. Step 5: Solve for x
    x = 56,346.89/107.44
  6. Step 6: Final answer
    x = 524.46

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.