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Finding the Third Proportional to 118,558 and 210,800

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Solution

The third proportional to 118,558 and 210,800 is: 374,809.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,558 : 210,800 = 210,800 : x
  2. Step 2: Convert to fraction form
    118,558/210,800 = 210,800/x
  3. Step 3: Cross multiply
    118,558x = 210,800 × 210,800
  4. Step 4: Simplify right side
    118,558x = 44,436,640,000
  5. Step 5: Solve for x
    x = 44,436,640,000/118,558
  6. Step 6: Final answer
    x = 374,809.29

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These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.