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Finding the Third Proportional to 114,078 and 274,827

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Solution

The third proportional to 114,078 and 274,827 is: 662,089.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,078 : 274,827 = 274,827 : x
  2. Step 2: Convert to fraction form
    114,078/274,827 = 274,827/x
  3. Step 3: Cross multiply
    114,078x = 274,827 × 274,827
  4. Step 4: Simplify right side
    114,078x = 75,529,879,929
  5. Step 5: Solve for x
    x = 75,529,879,929/114,078
  6. Step 6: Final answer
    x = 662,089.80

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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.