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Finding the Third Proportional to 113,769 and 248,274

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Solution

The third proportional to 113,769 and 248,274 is: 541,799.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,769 : 248,274 = 248,274 : x
  2. Step 2: Convert to fraction form
    113,769/248,274 = 248,274/x
  3. Step 3: Cross multiply
    113,769x = 248,274 × 248,274
  4. Step 4: Simplify right side
    113,769x = 61,639,979,076
  5. Step 5: Solve for x
    x = 61,639,979,076/113,769
  6. Step 6: Final answer
    x = 541,799.43

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.