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Finding the Third Proportional to 166,941.75 and 342,084.75

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Solution

The third proportional to 166,941.75 and 342,084.75 is: 700,974.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,941.75 : 342,084.75 = 342,084.75 : x
  2. Step 2: Convert to fraction form
    166,941.75/342,084.75 = 342,084.75/x
  3. Step 3: Cross multiply
    166,941.75x = 342,084.75 × 342,084.75
  4. Step 4: Simplify right side
    166,941.75x = 117,021,976,182.56
  5. Step 5: Solve for x
    x = 117,021,976,182.56/166,941.75
  6. Step 6: Final answer
    x = 700,974.90

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.