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Finding the Third Proportional to 113,966 and 244,546.50

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Solution

The third proportional to 113,966 and 244,546.50 is: 524,744.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,966 : 244,546.50 = 244,546.50 : x
  2. Step 2: Convert to fraction form
    113,966/244,546.50 = 244,546.50/x
  3. Step 3: Cross multiply
    113,966x = 244,546.50 × 244,546.50
  4. Step 4: Simplify right side
    113,966x = 59,802,990,662.25
  5. Step 5: Solve for x
    x = 59,802,990,662.25/113,966
  6. Step 6: Final answer
    x = 524,744.14

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.