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Finding the Third Proportional to 251,204.25 and 541,764.75

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Solution

The third proportional to 251,204.25 and 541,764.75 is: 1,168,407.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,204.25 : 541,764.75 = 541,764.75 : x
  2. Step 2: Convert to fraction form
    251,204.25/541,764.75 = 541,764.75/x
  3. Step 3: Cross multiply
    251,204.25x = 541,764.75 × 541,764.75
  4. Step 4: Simplify right side
    251,204.25x = 293,509,044,342.56
  5. Step 5: Solve for x
    x = 293,509,044,342.56/251,204.25
  6. Step 6: Final answer
    x = 1,168,407.96

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.