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Finding the Third Proportional to 176,753.50 and 381,524

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Solution

The third proportional to 176,753.50 and 381,524 is: 823,522.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,753.50 : 381,524 = 381,524 : x
  2. Step 2: Convert to fraction form
    176,753.50/381,524 = 381,524/x
  3. Step 3: Cross multiply
    176,753.50x = 381,524 × 381,524
  4. Step 4: Simplify right side
    176,753.50x = 145,560,562,576
  5. Step 5: Solve for x
    x = 145,560,562,576/176,753.50
  6. Step 6: Final answer
    x = 823,522.94

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