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Finding the Third Proportional to 82,356.75 and 179,817.47

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Solution

The third proportional to 82,356.75 and 179,817.47 is: 392,612.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,356.75 : 179,817.47 = 179,817.47 : x
  2. Step 2: Convert to fraction form
    82,356.75/179,817.47 = 179,817.47/x
  3. Step 3: Cross multiply
    82,356.75x = 179,817.47 × 179,817.47
  4. Step 4: Simplify right side
    82,356.75x = 32,334,322,067.66
  5. Step 5: Solve for x
    x = 32,334,322,067.66/82,356.75
  6. Step 6: Final answer
    x = 392,612.90

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.