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Finding the Third Proportional to 251,283.63 and 541,933.25

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Solution

The third proportional to 251,283.63 and 541,933.25 is: 1,168,765.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,283.63 : 541,933.25 = 541,933.25 : x
  2. Step 2: Convert to fraction form
    251,283.63/541,933.25 = 541,933.25/x
  3. Step 3: Cross multiply
    251,283.63x = 541,933.25 × 541,933.25
  4. Step 4: Simplify right side
    251,283.63x = 293,691,647,455.56
  5. Step 5: Solve for x
    x = 293,691,647,455.56/251,283.63
  6. Step 6: Final answer
    x = 1,168,765.56

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Why These Related Problems?

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