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Finding the Third Proportional to 263,138.63 and 400,241.25

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Solution

The third proportional to 263,138.63 and 400,241.25 is: 608,778.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,138.63 : 400,241.25 = 400,241.25 : x
  2. Step 2: Convert to fraction form
    263,138.63/400,241.25 = 400,241.25/x
  3. Step 3: Cross multiply
    263,138.63x = 400,241.25 × 400,241.25
  4. Step 4: Simplify right side
    263,138.63x = 160,193,058,201.56
  5. Step 5: Solve for x
    x = 160,193,058,201.56/263,138.63
  6. Step 6: Final answer
    x = 608,778.20

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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.