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Finding the Third Proportional to 166,923 and 353,711.25

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Solution

The third proportional to 166,923 and 353,711.25 is: 749,517.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,923 : 353,711.25 = 353,711.25 : x
  2. Step 2: Convert to fraction form
    166,923/353,711.25 = 353,711.25/x
  3. Step 3: Cross multiply
    166,923x = 353,711.25 × 353,711.25
  4. Step 4: Simplify right side
    166,923x = 125,111,648,376.56
  5. Step 5: Solve for x
    x = 125,111,648,376.56/166,923
  6. Step 6: Final answer
    x = 749,517.13

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.