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Finding the Third Proportional to 251,790.75 and 515,211.75

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Solution

The third proportional to 251,790.75 and 515,211.75 is: 1,054,221.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,790.75 : 515,211.75 = 515,211.75 : x
  2. Step 2: Convert to fraction form
    251,790.75/515,211.75 = 515,211.75/x
  3. Step 3: Cross multiply
    251,790.75x = 515,211.75 × 515,211.75
  4. Step 4: Simplify right side
    251,790.75x = 265,443,147,338.06
  5. Step 5: Solve for x
    x = 265,443,147,338.06/251,790.75
  6. Step 6: Final answer
    x = 1,054,221.20

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.