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Finding the Third Proportional to 177,441.73 and 384,832.98

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Solution

The third proportional to 177,441.73 and 384,832.98 is: 834,620.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,441.73 : 384,832.98 = 384,832.98 : x
  2. Step 2: Convert to fraction form
    177,441.73/384,832.98 = 384,832.98/x
  3. Step 3: Cross multiply
    177,441.73x = 384,832.98 × 384,832.98
  4. Step 4: Simplify right side
    177,441.73x = 148,096,420,601.58
  5. Step 5: Solve for x
    x = 148,096,420,601.58/177,441.73
  6. Step 6: Final answer
    x = 834,620.01

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Why These Related Problems?

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