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Finding the Third Proportional to 188,813 and 303,874.50

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Solution

The third proportional to 188,813 and 303,874.50 is: 489,053.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,813 : 303,874.50 = 303,874.50 : x
  2. Step 2: Convert to fraction form
    188,813/303,874.50 = 303,874.50/x
  3. Step 3: Cross multiply
    188,813x = 303,874.50 × 303,874.50
  4. Step 4: Simplify right side
    188,813x = 92,339,711,750.25
  5. Step 5: Solve for x
    x = 92,339,711,750.25/188,813
  6. Step 6: Final answer
    x = 489,053.78

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.