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Finding the Third Proportional to 198,025.75 and 425,905.50

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Solution

The third proportional to 198,025.75 and 425,905.50 is: 916,019.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,025.75 : 425,905.50 = 425,905.50 : x
  2. Step 2: Convert to fraction form
    198,025.75/425,905.50 = 425,905.50/x
  3. Step 3: Cross multiply
    198,025.75x = 425,905.50 × 425,905.50
  4. Step 4: Simplify right side
    198,025.75x = 181,395,494,930.25
  5. Step 5: Solve for x
    x = 181,395,494,930.25/198,025.75
  6. Step 6: Final answer
    x = 916,019.73

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.