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Finding the Third Proportional to 166,306.50 and 255,975

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Solution

The third proportional to 166,306.50 and 255,975 is: 393,990.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,306.50 : 255,975 = 255,975 : x
  2. Step 2: Convert to fraction form
    166,306.50/255,975 = 255,975/x
  3. Step 3: Cross multiply
    166,306.50x = 255,975 × 255,975
  4. Step 4: Simplify right side
    166,306.50x = 65,523,200,625
  5. Step 5: Solve for x
    x = 65,523,200,625/166,306.50
  6. Step 6: Final answer
    x = 393,990.62

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.