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Finding the Third Proportional to 113,770 and 248,244

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Solution

The third proportional to 113,770 and 248,244 is: 541,663.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,770 : 248,244 = 248,244 : x
  2. Step 2: Convert to fraction form
    113,770/248,244 = 248,244/x
  3. Step 3: Cross multiply
    113,770x = 248,244 × 248,244
  4. Step 4: Simplify right side
    113,770x = 61,625,083,536
  5. Step 5: Solve for x
    x = 61,625,083,536/113,770
  6. Step 6: Final answer
    x = 541,663.74

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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.