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Finding the Third Proportional to 80,299.50 and 172,932

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Solution

The third proportional to 80,299.50 and 172,932 is: 372,424.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,299.50 : 172,932 = 172,932 : x
  2. Step 2: Convert to fraction form
    80,299.50/172,932 = 172,932/x
  3. Step 3: Cross multiply
    80,299.50x = 172,932 × 172,932
  4. Step 4: Simplify right side
    80,299.50x = 29,905,476,624
  5. Step 5: Solve for x
    x = 29,905,476,624/80,299.50
  6. Step 6: Final answer
    x = 372,424.19

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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.