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Finding the Third Proportional to 170,905.50 and 274,583.25

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Solution

The third proportional to 170,905.50 and 274,583.25 is: 441,155.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,905.50 : 274,583.25 = 274,583.25 : x
  2. Step 2: Convert to fraction form
    170,905.50/274,583.25 = 274,583.25/x
  3. Step 3: Cross multiply
    170,905.50x = 274,583.25 × 274,583.25
  4. Step 4: Simplify right side
    170,905.50x = 75,395,961,180.56
  5. Step 5: Solve for x
    x = 75,395,961,180.56/170,905.50
  6. Step 6: Final answer
    x = 441,155.85

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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.