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Finding the Third Proportional to 188,203.50 and 385,579.50

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Solution

The third proportional to 188,203.50 and 385,579.50 is: 789,951.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,203.50 : 385,579.50 = 385,579.50 : x
  2. Step 2: Convert to fraction form
    188,203.50/385,579.50 = 385,579.50/x
  3. Step 3: Cross multiply
    188,203.50x = 385,579.50 × 385,579.50
  4. Step 4: Simplify right side
    188,203.50x = 148,671,550,820.25
  5. Step 5: Solve for x
    x = 148,671,550,820.25/188,203.50
  6. Step 6: Final answer
    x = 789,951.04

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.