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Finding the Third Proportional to 177,982.50 and 275,662.50

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Solution

The third proportional to 177,982.50 and 275,662.50 is: 426,951.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,982.50 : 275,662.50 = 275,662.50 : x
  2. Step 2: Convert to fraction form
    177,982.50/275,662.50 = 275,662.50/x
  3. Step 3: Cross multiply
    177,982.50x = 275,662.50 × 275,662.50
  4. Step 4: Simplify right side
    177,982.50x = 75,989,813,906.25
  5. Step 5: Solve for x
    x = 75,989,813,906.25/177,982.50
  6. Step 6: Final answer
    x = 426,951.04

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.