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Finding the Third Proportional to 199,194.75 and 430,080.75

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Solution

The third proportional to 199,194.75 and 430,080.75 is: 928,585.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,194.75 : 430,080.75 = 430,080.75 : x
  2. Step 2: Convert to fraction form
    199,194.75/430,080.75 = 430,080.75/x
  3. Step 3: Cross multiply
    199,194.75x = 430,080.75 × 430,080.75
  4. Step 4: Simplify right side
    199,194.75x = 184,969,451,520.56
  5. Step 5: Solve for x
    x = 184,969,451,520.56/199,194.75
  6. Step 6: Final answer
    x = 928,585.98

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.