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Finding the Third Proportional to 140,791.50 and 302,086.13

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Solution

The third proportional to 140,791.50 and 302,086.13 is: 648,164.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,791.50 : 302,086.13 = 302,086.13 : x
  2. Step 2: Convert to fraction form
    140,791.50/302,086.13 = 302,086.13/x
  3. Step 3: Cross multiply
    140,791.50x = 302,086.13 × 302,086.13
  4. Step 4: Simplify right side
    140,791.50x = 91,256,026,917.52
  5. Step 5: Solve for x
    x = 91,256,026,917.52/140,791.50
  6. Step 6: Final answer
    x = 648,164.32

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.