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Finding the Third Proportional to 199,163.25 and 430,020

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Solution

The third proportional to 199,163.25 and 430,020 is: 928,470.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,163.25 : 430,020 = 430,020 : x
  2. Step 2: Convert to fraction form
    199,163.25/430,020 = 430,020/x
  3. Step 3: Cross multiply
    199,163.25x = 430,020 × 430,020
  4. Step 4: Simplify right side
    199,163.25x = 184,917,200,400
  5. Step 5: Solve for x
    x = 184,917,200,400/199,163.25
  6. Step 6: Final answer
    x = 928,470.49

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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.