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Finding the Third Proportional to 173,803.50 and 263,157

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Solution

The third proportional to 173,803.50 and 263,157 is: 398,447.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,803.50 : 263,157 = 263,157 : x
  2. Step 2: Convert to fraction form
    173,803.50/263,157 = 263,157/x
  3. Step 3: Cross multiply
    173,803.50x = 263,157 × 263,157
  4. Step 4: Simplify right side
    173,803.50x = 69,251,606,649
  5. Step 5: Solve for x
    x = 69,251,606,649/173,803.50
  6. Step 6: Final answer
    x = 398,447.71

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.