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Finding the Third Proportional to 82,326.38 and 171,112.50

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Solution

The third proportional to 82,326.38 and 171,112.50 is: 355,651.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,326.38 : 171,112.50 = 171,112.50 : x
  2. Step 2: Convert to fraction form
    82,326.38/171,112.50 = 171,112.50/x
  3. Step 3: Cross multiply
    82,326.38x = 171,112.50 × 171,112.50
  4. Step 4: Simplify right side
    82,326.38x = 29,279,487,656.25
  5. Step 5: Solve for x
    x = 29,279,487,656.25/82,326.38
  6. Step 6: Final answer
    x = 355,651.37

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.