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Finding the Third Proportional to 184,719.23 and 397,934.02

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Solution

The third proportional to 184,719.23 and 397,934.02 is: 857,254.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,719.23 : 397,934.02 = 397,934.02 : x
  2. Step 2: Convert to fraction form
    184,719.23/397,934.02 = 397,934.02/x
  3. Step 3: Cross multiply
    184,719.23x = 397,934.02 × 397,934.02
  4. Step 4: Simplify right side
    184,719.23x = 158,351,480,791.44
  5. Step 5: Solve for x
    x = 158,351,480,791.44/184,719.23
  6. Step 6: Final answer
    x = 857,254.96

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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.