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Finding the Third Proportional to 250,163.25 and 538,319.88

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Solution

The third proportional to 250,163.25 and 538,319.88 is: 1,158,396.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,163.25 : 538,319.88 = 538,319.88 : x
  2. Step 2: Convert to fraction form
    250,163.25/538,319.88 = 538,319.88/x
  3. Step 3: Cross multiply
    250,163.25x = 538,319.88 × 538,319.88
  4. Step 4: Simplify right side
    250,163.25x = 289,788,287,820.02
  5. Step 5: Solve for x
    x = 289,788,287,820.02/250,163.25
  6. Step 6: Final answer
    x = 1,158,396.72

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.