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Finding the Third Proportional to 112,900 and 248,836

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Solution

The third proportional to 112,900 and 248,836 is: 548,444.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,900 : 248,836 = 248,836 : x
  2. Step 2: Convert to fraction form
    112,900/248,836 = 248,836/x
  3. Step 3: Cross multiply
    112,900x = 248,836 × 248,836
  4. Step 4: Simplify right side
    112,900x = 61,919,354,896
  5. Step 5: Solve for x
    x = 61,919,354,896/112,900
  6. Step 6: Final answer
    x = 548,444.24

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.