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Finding the Third Proportional to 173,863 and 248,157

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Solution

The third proportional to 173,863 and 248,157 is: 354,197.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,863 : 248,157 = 248,157 : x
  2. Step 2: Convert to fraction form
    173,863/248,157 = 248,157/x
  3. Step 3: Cross multiply
    173,863x = 248,157 × 248,157
  4. Step 4: Simplify right side
    173,863x = 61,581,896,649
  5. Step 5: Solve for x
    x = 61,581,896,649/173,863
  6. Step 6: Final answer
    x = 354,197.83

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.