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Finding the Third Proportional to 240,190.50 and 519,825

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Solution

The third proportional to 240,190.50 and 519,825 is: 1,125,015.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,190.50 : 519,825 = 519,825 : x
  2. Step 2: Convert to fraction form
    240,190.50/519,825 = 519,825/x
  3. Step 3: Cross multiply
    240,190.50x = 519,825 × 519,825
  4. Step 4: Simplify right side
    240,190.50x = 270,218,030,625
  5. Step 5: Solve for x
    x = 270,218,030,625/240,190.50
  6. Step 6: Final answer
    x = 1,125,015.48

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.