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Finding the Third Proportional to 251,799.75 and 515,234.25

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Solution

The third proportional to 251,799.75 and 515,234.25 is: 1,054,275.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,799.75 : 515,234.25 = 515,234.25 : x
  2. Step 2: Convert to fraction form
    251,799.75/515,234.25 = 515,234.25/x
  3. Step 3: Cross multiply
    251,799.75x = 515,234.25 × 515,234.25
  4. Step 4: Simplify right side
    251,799.75x = 265,466,332,373.06
  5. Step 5: Solve for x
    x = 265,466,332,373.06/251,799.75
  6. Step 6: Final answer
    x = 1,054,275.60

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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.