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Finding the Third Proportional to 166,099.50 and 354,345

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Solution

The third proportional to 166,099.50 and 354,345 is: 755,934.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,099.50 : 354,345 = 354,345 : x
  2. Step 2: Convert to fraction form
    166,099.50/354,345 = 354,345/x
  3. Step 3: Cross multiply
    166,099.50x = 354,345 × 354,345
  4. Step 4: Simplify right side
    166,099.50x = 125,560,379,025
  5. Step 5: Solve for x
    x = 125,560,379,025/166,099.50
  6. Step 6: Final answer
    x = 755,934.72

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.