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Finding the Third Proportional to 186,198.75 and 279,237.38

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Solution

The third proportional to 186,198.75 and 279,237.38 is: 418,764.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,198.75 : 279,237.38 = 279,237.38 : x
  2. Step 2: Convert to fraction form
    186,198.75/279,237.38 = 279,237.38/x
  3. Step 3: Cross multiply
    186,198.75x = 279,237.38 × 279,237.38
  4. Step 4: Simplify right side
    186,198.75x = 77,973,511,596.89
  5. Step 5: Solve for x
    x = 77,973,511,596.89/186,198.75
  6. Step 6: Final answer
    x = 418,764.96

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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.