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Finding the Third Proportional to 186,329 and 263,400.75

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Solution

The third proportional to 186,329 and 263,400.75 is: 372,351.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,329 : 263,400.75 = 263,400.75 : x
  2. Step 2: Convert to fraction form
    186,329/263,400.75 = 263,400.75/x
  3. Step 3: Cross multiply
    186,329x = 263,400.75 × 263,400.75
  4. Step 4: Simplify right side
    186,329x = 69,379,955,100.56
  5. Step 5: Solve for x
    x = 69,379,955,100.56/186,329
  6. Step 6: Final answer
    x = 372,351.89

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.