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Finding the Third Proportional to 114,050 and 274,757

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Solution

The third proportional to 114,050 and 274,757 is: 661,915.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,050 : 274,757 = 274,757 : x
  2. Step 2: Convert to fraction form
    114,050/274,757 = 274,757/x
  3. Step 3: Cross multiply
    114,050x = 274,757 × 274,757
  4. Step 4: Simplify right side
    114,050x = 75,491,409,049
  5. Step 5: Solve for x
    x = 75,491,409,049/114,050
  6. Step 6: Final answer
    x = 661,915.03

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.