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Finding the Third Proportional to 193,200.19 and 398,550.38

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Solution

The third proportional to 193,200.19 and 398,550.38 is: 822,164.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,200.19 : 398,550.38 = 398,550.38 : x
  2. Step 2: Convert to fraction form
    193,200.19/398,550.38 = 398,550.38/x
  3. Step 3: Cross multiply
    193,200.19x = 398,550.38 × 398,550.38
  4. Step 4: Simplify right side
    193,200.19x = 158,842,401,412.64
  5. Step 5: Solve for x
    x = 158,842,401,412.64/193,200.19
  6. Step 6: Final answer
    x = 822,164.84

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.