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Finding the Third Proportional to 159,365.25 and 343,320.75

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Solution

The third proportional to 159,365.25 and 343,320.75 is: 739,616.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,365.25 : 343,320.75 = 343,320.75 : x
  2. Step 2: Convert to fraction form
    159,365.25/343,320.75 = 343,320.75/x
  3. Step 3: Cross multiply
    159,365.25x = 343,320.75 × 343,320.75
  4. Step 4: Simplify right side
    159,365.25x = 117,869,137,380.56
  5. Step 5: Solve for x
    x = 117,869,137,380.56/159,365.25
  6. Step 6: Final answer
    x = 739,616.31

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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.