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Finding the Third Proportional to 82,408.50 and 176,481

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Solution

The third proportional to 82,408.50 and 176,481 is: 377,940.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,408.50 : 176,481 = 176,481 : x
  2. Step 2: Convert to fraction form
    82,408.50/176,481 = 176,481/x
  3. Step 3: Cross multiply
    82,408.50x = 176,481 × 176,481
  4. Step 4: Simplify right side
    82,408.50x = 31,145,543,361
  5. Step 5: Solve for x
    x = 31,145,543,361/82,408.50
  6. Step 6: Final answer
    x = 377,940.91

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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.