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Finding the Third Proportional to 197,550 and 434,652

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Solution

The third proportional to 197,550 and 434,652 is: 956,326.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,550 : 434,652 = 434,652 : x
  2. Step 2: Convert to fraction form
    197,550/434,652 = 434,652/x
  3. Step 3: Cross multiply
    197,550x = 434,652 × 434,652
  4. Step 4: Simplify right side
    197,550x = 188,922,361,104
  5. Step 5: Solve for x
    x = 188,922,361,104/197,550
  6. Step 6: Final answer
    x = 956,326.81

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.