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Finding the Third Proportional to 80,245.69 and 171,876.94

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Solution

The third proportional to 80,245.69 and 171,876.94 is: 368,140.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,245.69 : 171,876.94 = 171,876.94 : x
  2. Step 2: Convert to fraction form
    80,245.69/171,876.94 = 171,876.94/x
  3. Step 3: Cross multiply
    80,245.69x = 171,876.94 × 171,876.94
  4. Step 4: Simplify right side
    80,245.69x = 29,541,681,644.38
  5. Step 5: Solve for x
    x = 29,541,681,644.38/80,245.69
  6. Step 6: Final answer
    x = 368,140.43

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.