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Finding the Third Proportional to 186,855.75 and 280,010.25

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Solution

The third proportional to 186,855.75 and 280,010.25 is: 419,605.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,855.75 : 280,010.25 = 280,010.25 : x
  2. Step 2: Convert to fraction form
    186,855.75/280,010.25 = 280,010.25/x
  3. Step 3: Cross multiply
    186,855.75x = 280,010.25 × 280,010.25
  4. Step 4: Simplify right side
    186,855.75x = 78,405,740,105.06
  5. Step 5: Solve for x
    x = 78,405,740,105.06/186,855.75
  6. Step 6: Final answer
    x = 419,605.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.