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Finding the Third Proportional to 159,198.75 and 240,844.50

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Solution

The third proportional to 159,198.75 and 240,844.50 is: 364,362.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,198.75 : 240,844.50 = 240,844.50 : x
  2. Step 2: Convert to fraction form
    159,198.75/240,844.50 = 240,844.50/x
  3. Step 3: Cross multiply
    159,198.75x = 240,844.50 × 240,844.50
  4. Step 4: Simplify right side
    159,198.75x = 58,006,073,180.25
  5. Step 5: Solve for x
    x = 58,006,073,180.25/159,198.75
  6. Step 6: Final answer
    x = 364,362.62

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.