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Finding the Third Proportional to 236,651.63 and 519,230.25

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Solution

The third proportional to 236,651.63 and 519,230.25 is: 1,139,227.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,651.63 : 519,230.25 = 519,230.25 : x
  2. Step 2: Convert to fraction form
    236,651.63/519,230.25 = 519,230.25/x
  3. Step 3: Cross multiply
    236,651.63x = 519,230.25 × 519,230.25
  4. Step 4: Simplify right side
    236,651.63x = 269,600,052,515.06
  5. Step 5: Solve for x
    x = 269,600,052,515.06/236,651.63
  6. Step 6: Final answer
    x = 1,139,227.56

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.