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Finding the Third Proportional to 198,744 and 295,410

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Solution

The third proportional to 198,744 and 295,410 is: 439,092.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,744 : 295,410 = 295,410 : x
  2. Step 2: Convert to fraction form
    198,744/295,410 = 295,410/x
  3. Step 3: Cross multiply
    198,744x = 295,410 × 295,410
  4. Step 4: Simplify right side
    198,744x = 87,267,068,100
  5. Step 5: Solve for x
    x = 87,267,068,100/198,744
  6. Step 6: Final answer
    x = 439,092.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.