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Finding the Third Proportional to 146,793.50 and 281,923

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Solution

The third proportional to 146,793.50 and 281,923 is: 541,444.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,793.50 : 281,923 = 281,923 : x
  2. Step 2: Convert to fraction form
    146,793.50/281,923 = 281,923/x
  3. Step 3: Cross multiply
    146,793.50x = 281,923 × 281,923
  4. Step 4: Simplify right side
    146,793.50x = 79,480,577,929
  5. Step 5: Solve for x
    x = 79,480,577,929/146,793.50
  6. Step 6: Final answer
    x = 541,444.80

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Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.