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Finding the Third Proportional to 80,822.50 and 175,469

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Solution

The third proportional to 80,822.50 and 175,469 is: 380,950.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,822.50 : 175,469 = 175,469 : x
  2. Step 2: Convert to fraction form
    80,822.50/175,469 = 175,469/x
  3. Step 3: Cross multiply
    80,822.50x = 175,469 × 175,469
  4. Step 4: Simplify right side
    80,822.50x = 30,789,369,961
  5. Step 5: Solve for x
    x = 30,789,369,961/80,822.50
  6. Step 6: Final answer
    x = 380,950.48

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