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Finding the Third Proportional to 146,211.75 and 303,915.38

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Solution

The third proportional to 146,211.75 and 303,915.38 is: 631,717.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,211.75 : 303,915.38 = 303,915.38 : x
  2. Step 2: Convert to fraction form
    146,211.75/303,915.38 = 303,915.38/x
  3. Step 3: Cross multiply
    146,211.75x = 303,915.38 × 303,915.38
  4. Step 4: Simplify right side
    146,211.75x = 92,364,555,161.39
  5. Step 5: Solve for x
    x = 92,364,555,161.39/146,211.75
  6. Step 6: Final answer
    x = 631,717.73

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.