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Finding the Third Proportional to 178,615.50 and 381,795

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Solution

The third proportional to 178,615.50 and 381,795 is: 816,096.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,615.50 : 381,795 = 381,795 : x
  2. Step 2: Convert to fraction form
    178,615.50/381,795 = 381,795/x
  3. Step 3: Cross multiply
    178,615.50x = 381,795 × 381,795
  4. Step 4: Simplify right side
    178,615.50x = 145,767,422,025
  5. Step 5: Solve for x
    x = 145,767,422,025/178,615.50
  6. Step 6: Final answer
    x = 816,096.15

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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.