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Finding the Third Proportional to 259,139.25 and 566,149.50

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Solution

The third proportional to 259,139.25 and 566,149.50 is: 1,236,884.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,139.25 : 566,149.50 = 566,149.50 : x
  2. Step 2: Convert to fraction form
    259,139.25/566,149.50 = 566,149.50/x
  3. Step 3: Cross multiply
    259,139.25x = 566,149.50 × 566,149.50
  4. Step 4: Simplify right side
    259,139.25x = 320,525,256,350.25
  5. Step 5: Solve for x
    x = 320,525,256,350.25/259,139.25
  6. Step 6: Final answer
    x = 1,236,884.25

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.