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Finding the Third Proportional to 190,687.50 and 419,679

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Solution

The third proportional to 190,687.50 and 419,679 is: 923,660.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,687.50 : 419,679 = 419,679 : x
  2. Step 2: Convert to fraction form
    190,687.50/419,679 = 419,679/x
  3. Step 3: Cross multiply
    190,687.50x = 419,679 × 419,679
  4. Step 4: Simplify right side
    190,687.50x = 176,130,463,041
  5. Step 5: Solve for x
    x = 176,130,463,041/190,687.50
  6. Step 6: Final answer
    x = 923,660.25

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.