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Finding the Third Proportional to 118,734.75 and 242,313.75

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Solution

The third proportional to 118,734.75 and 242,313.75 is: 494,513.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,734.75 : 242,313.75 = 242,313.75 : x
  2. Step 2: Convert to fraction form
    118,734.75/242,313.75 = 242,313.75/x
  3. Step 3: Cross multiply
    118,734.75x = 242,313.75 × 242,313.75
  4. Step 4: Simplify right side
    118,734.75x = 58,715,953,439.06
  5. Step 5: Solve for x
    x = 58,715,953,439.06/118,734.75
  6. Step 6: Final answer
    x = 494,513.64

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.