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Finding the Third Proportional to 82,814.25 and 179,631.75

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Solution

The third proportional to 82,814.25 and 179,631.75 is: 389,637.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,814.25 : 179,631.75 = 179,631.75 : x
  2. Step 2: Convert to fraction form
    82,814.25/179,631.75 = 179,631.75/x
  3. Step 3: Cross multiply
    82,814.25x = 179,631.75 × 179,631.75
  4. Step 4: Simplify right side
    82,814.25x = 32,267,565,608.06
  5. Step 5: Solve for x
    x = 32,267,565,608.06/82,814.25
  6. Step 6: Final answer
    x = 389,637.84

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.