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Finding the Third Proportional to 157,403.25 and 246,229.88

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Solution

The third proportional to 157,403.25 and 246,229.88 is: 385,183.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,403.25 : 246,229.88 = 246,229.88 : x
  2. Step 2: Convert to fraction form
    157,403.25/246,229.88 = 246,229.88/x
  3. Step 3: Cross multiply
    157,403.25x = 246,229.88 × 246,229.88
  4. Step 4: Simplify right side
    157,403.25x = 60,629,151,342.52
  5. Step 5: Solve for x
    x = 60,629,151,342.52/157,403.25
  6. Step 6: Final answer
    x = 385,183.61

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.