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Finding the Third Proportional to 198,164.25 and 441,711

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Solution

The third proportional to 198,164.25 and 441,711 is: 984,580.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,164.25 : 441,711 = 441,711 : x
  2. Step 2: Convert to fraction form
    198,164.25/441,711 = 441,711/x
  3. Step 3: Cross multiply
    198,164.25x = 441,711 × 441,711
  4. Step 4: Simplify right side
    198,164.25x = 195,108,607,521
  5. Step 5: Solve for x
    x = 195,108,607,521/198,164.25
  6. Step 6: Final answer
    x = 984,580.25

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.