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Finding the Third Proportional to 80,354.39 and 172,801.83

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Solution

The third proportional to 80,354.39 and 172,801.83 is: 371,609.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,354.39 : 172,801.83 = 172,801.83 : x
  2. Step 2: Convert to fraction form
    80,354.39/172,801.83 = 172,801.83/x
  3. Step 3: Cross multiply
    80,354.39x = 172,801.83 × 172,801.83
  4. Step 4: Simplify right side
    80,354.39x = 29,860,471,803.34
  5. Step 5: Solve for x
    x = 29,860,471,803.34/80,354.39
  6. Step 6: Final answer
    x = 371,609.71

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.