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Finding the Third Proportional to 251,012.75 and 382,405.25

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Solution

The third proportional to 251,012.75 and 382,405.25 is: 582,575.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,012.75 : 382,405.25 = 382,405.25 : x
  2. Step 2: Convert to fraction form
    251,012.75/382,405.25 = 382,405.25/x
  3. Step 3: Cross multiply
    251,012.75x = 382,405.25 × 382,405.25
  4. Step 4: Simplify right side
    251,012.75x = 146,233,775,227.56
  5. Step 5: Solve for x
    x = 146,233,775,227.56/251,012.75
  6. Step 6: Final answer
    x = 582,575.09

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.