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Finding the Third Proportional to 185,577.75 and 397,399.50

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Solution

The third proportional to 185,577.75 and 397,399.50 is: 850,998.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,577.75 : 397,399.50 = 397,399.50 : x
  2. Step 2: Convert to fraction form
    185,577.75/397,399.50 = 397,399.50/x
  3. Step 3: Cross multiply
    185,577.75x = 397,399.50 × 397,399.50
  4. Step 4: Simplify right side
    185,577.75x = 157,926,362,600.25
  5. Step 5: Solve for x
    x = 157,926,362,600.25/185,577.75
  6. Step 6: Final answer
    x = 850,998.37

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.