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Finding the Third Proportional to 102,318.75 and 241,194.75

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Solution

The third proportional to 102,318.75 and 241,194.75 is: 568,565.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,318.75 : 241,194.75 = 241,194.75 : x
  2. Step 2: Convert to fraction form
    102,318.75/241,194.75 = 241,194.75/x
  3. Step 3: Cross multiply
    102,318.75x = 241,194.75 × 241,194.75
  4. Step 4: Simplify right side
    102,318.75x = 58,174,907,427.56
  5. Step 5: Solve for x
    x = 58,174,907,427.56/102,318.75
  6. Step 6: Final answer
    x = 568,565.46

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.