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Finding the Third Proportional to 207,629.75 and 274,333.50

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Solution

The third proportional to 207,629.75 and 274,333.50 is: 362,466.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,629.75 : 274,333.50 = 274,333.50 : x
  2. Step 2: Convert to fraction form
    207,629.75/274,333.50 = 274,333.50/x
  3. Step 3: Cross multiply
    207,629.75x = 274,333.50 × 274,333.50
  4. Step 4: Simplify right side
    207,629.75x = 75,258,869,222.25
  5. Step 5: Solve for x
    x = 75,258,869,222.25/207,629.75
  6. Step 6: Final answer
    x = 362,466.69

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.