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Finding the Third Proportional to 248,334.75 and 519,153.75

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Solution

The third proportional to 248,334.75 and 519,153.75 is: 1,085,311.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,334.75 : 519,153.75 = 519,153.75 : x
  2. Step 2: Convert to fraction form
    248,334.75/519,153.75 = 519,153.75/x
  3. Step 3: Cross multiply
    248,334.75x = 519,153.75 × 519,153.75
  4. Step 4: Simplify right side
    248,334.75x = 269,520,616,139.06
  5. Step 5: Solve for x
    x = 269,520,616,139.06/248,334.75
  6. Step 6: Final answer
    x = 1,085,311.73

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.