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Finding the Third Proportional to 195,041.25 and 405,546.75

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Solution

The third proportional to 195,041.25 and 405,546.75 is: 843,248.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,041.25 : 405,546.75 = 405,546.75 : x
  2. Step 2: Convert to fraction form
    195,041.25/405,546.75 = 405,546.75/x
  3. Step 3: Cross multiply
    195,041.25x = 405,546.75 × 405,546.75
  4. Step 4: Simplify right side
    195,041.25x = 164,468,166,435.56
  5. Step 5: Solve for x
    x = 164,468,166,435.56/195,041.25
  6. Step 6: Final answer
    x = 843,248.12

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.