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Finding the Third Proportional to 198,450 and 434,157

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Solution

The third proportional to 198,450 and 434,157 is: 949,822.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,450 : 434,157 = 434,157 : x
  2. Step 2: Convert to fraction form
    198,450/434,157 = 434,157/x
  3. Step 3: Cross multiply
    198,450x = 434,157 × 434,157
  4. Step 4: Simplify right side
    198,450x = 188,492,300,649
  5. Step 5: Solve for x
    x = 188,492,300,649/198,450
  6. Step 6: Final answer
    x = 949,822.63

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.