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Finding the Third Proportional to 203,550.47 and 434,152.41

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Solution

The third proportional to 203,550.47 and 434,152.41 is: 926,002.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,550.47 : 434,152.41 = 434,152.41 : x
  2. Step 2: Convert to fraction form
    203,550.47/434,152.41 = 434,152.41/x
  3. Step 3: Cross multiply
    203,550.47x = 434,152.41 × 434,152.41
  4. Step 4: Simplify right side
    203,550.47x = 188,488,311,852.67
  5. Step 5: Solve for x
    x = 188,488,311,852.67/203,550.47
  6. Step 6: Final answer
    x = 926,002.84

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.