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Finding the Third Proportional to 81,479.25 and 170,399.25

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Solution

The third proportional to 81,479.25 and 170,399.25 is: 356,359.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,479.25 : 170,399.25 = 170,399.25 : x
  2. Step 2: Convert to fraction form
    81,479.25/170,399.25 = 170,399.25/x
  3. Step 3: Cross multiply
    81,479.25x = 170,399.25 × 170,399.25
  4. Step 4: Simplify right side
    81,479.25x = 29,035,904,400.56
  5. Step 5: Solve for x
    x = 29,035,904,400.56/81,479.25
  6. Step 6: Final answer
    x = 356,359.50

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.