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Finding the Third Proportional to 190,201.50 and 282,379.50

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Solution

The third proportional to 190,201.50 and 282,379.50 is: 419,230.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,201.50 : 282,379.50 = 282,379.50 : x
  2. Step 2: Convert to fraction form
    190,201.50/282,379.50 = 282,379.50/x
  3. Step 3: Cross multiply
    190,201.50x = 282,379.50 × 282,379.50
  4. Step 4: Simplify right side
    190,201.50x = 79,738,182,020.25
  5. Step 5: Solve for x
    x = 79,738,182,020.25/190,201.50
  6. Step 6: Final answer
    x = 419,230.04

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.