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Finding the Third Proportional to 118,734.50 and 242,313

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Solution

The third proportional to 118,734.50 and 242,313 is: 494,511.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,734.50 : 242,313 = 242,313 : x
  2. Step 2: Convert to fraction form
    118,734.50/242,313 = 242,313/x
  3. Step 3: Cross multiply
    118,734.50x = 242,313 × 242,313
  4. Step 4: Simplify right side
    118,734.50x = 58,715,589,969
  5. Step 5: Solve for x
    x = 58,715,589,969/118,734.50
  6. Step 6: Final answer
    x = 494,511.62

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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.