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Finding the Third Proportional to 112,956 and 248,964

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Solution

The third proportional to 112,956 and 248,964 is: 548,736.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,956 : 248,964 = 248,964 : x
  2. Step 2: Convert to fraction form
    112,956/248,964 = 248,964/x
  3. Step 3: Cross multiply
    112,956x = 248,964 × 248,964
  4. Step 4: Simplify right side
    112,956x = 61,983,073,296
  5. Step 5: Solve for x
    x = 61,983,073,296/112,956
  6. Step 6: Final answer
    x = 548,736.44

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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.