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Finding the Third Proportional to 166,955.50 and 371,234

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Solution

The third proportional to 166,955.50 and 371,234 is: 825,457.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,955.50 : 371,234 = 371,234 : x
  2. Step 2: Convert to fraction form
    166,955.50/371,234 = 371,234/x
  3. Step 3: Cross multiply
    166,955.50x = 371,234 × 371,234
  4. Step 4: Simplify right side
    166,955.50x = 137,814,682,756
  5. Step 5: Solve for x
    x = 137,814,682,756/166,955.50
  6. Step 6: Final answer
    x = 825,457.58

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.