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Finding the Third Proportional to 186,976.63 and 290,067.94

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Solution

The third proportional to 186,976.63 and 290,067.94 is: 449,999.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,976.63 : 290,067.94 = 290,067.94 : x
  2. Step 2: Convert to fraction form
    186,976.63/290,067.94 = 290,067.94/x
  3. Step 3: Cross multiply
    186,976.63x = 290,067.94 × 290,067.94
  4. Step 4: Simplify right side
    186,976.63x = 84,139,408,365.50
  5. Step 5: Solve for x
    x = 84,139,408,365.50/186,976.63
  6. Step 6: Final answer
    x = 449,999.61

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.