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Finding the Third Proportional to 118,705.50 and 242,244

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Solution

The third proportional to 118,705.50 and 242,244 is: 494,350.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,705.50 : 242,244 = 242,244 : x
  2. Step 2: Convert to fraction form
    118,705.50/242,244 = 242,244/x
  3. Step 3: Cross multiply
    118,705.50x = 242,244 × 242,244
  4. Step 4: Simplify right side
    118,705.50x = 58,682,155,536
  5. Step 5: Solve for x
    x = 58,682,155,536/118,705.50
  6. Step 6: Final answer
    x = 494,350.77

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Why These Related Problems?

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