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Finding the Third Proportional to 113,761.50 and 248,259

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Solution

The third proportional to 113,761.50 and 248,259 is: 541,769.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,761.50 : 248,259 = 248,259 : x
  2. Step 2: Convert to fraction form
    113,761.50/248,259 = 248,259/x
  3. Step 3: Cross multiply
    113,761.50x = 248,259 × 248,259
  4. Step 4: Simplify right side
    113,761.50x = 61,632,531,081
  5. Step 5: Solve for x
    x = 61,632,531,081/113,761.50
  6. Step 6: Final answer
    x = 541,769.68

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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.