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Finding the Third Proportional to 166,731.54 and 365,869.41

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Solution

The third proportional to 166,731.54 and 365,869.41 is: 802,850.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,731.54 : 365,869.41 = 365,869.41 : x
  2. Step 2: Convert to fraction form
    166,731.54/365,869.41 = 365,869.41/x
  3. Step 3: Cross multiply
    166,731.54x = 365,869.41 × 365,869.41
  4. Step 4: Simplify right side
    166,731.54x = 133,860,422,429.73
  5. Step 5: Solve for x
    x = 133,860,422,429.73/166,731.54
  6. Step 6: Final answer
    x = 802,850.04

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.