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Finding the Third Proportional to 117,924.75 and 244,293.75

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Solution

The third proportional to 117,924.75 and 244,293.75 is: 506,080.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,924.75 : 244,293.75 = 244,293.75 : x
  2. Step 2: Convert to fraction form
    117,924.75/244,293.75 = 244,293.75/x
  3. Step 3: Cross multiply
    117,924.75x = 244,293.75 × 244,293.75
  4. Step 4: Simplify right side
    117,924.75x = 59,679,436,289.06
  5. Step 5: Solve for x
    x = 59,679,436,289.06/117,924.75
  6. Step 6: Final answer
    x = 506,080.67

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.