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Finding the Third Proportional to 80,166.38 and 173,181.38

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Solution

The third proportional to 80,166.38 and 173,181.38 is: 374,119.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,166.38 : 173,181.38 = 173,181.38 : x
  2. Step 2: Convert to fraction form
    80,166.38/173,181.38 = 173,181.38/x
  3. Step 3: Cross multiply
    80,166.38x = 173,181.38 × 173,181.38
  4. Step 4: Simplify right side
    80,166.38x = 29,991,788,646.89
  5. Step 5: Solve for x
    x = 29,991,788,646.89/80,166.38
  6. Step 6: Final answer
    x = 374,119.31

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.