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Finding the Third Proportional to 251,956.31 and 548,199.38

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Solution

The third proportional to 251,956.31 and 548,199.38 is: 1,192,756.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,956.31 : 548,199.38 = 548,199.38 : x
  2. Step 2: Convert to fraction form
    251,956.31/548,199.38 = 548,199.38/x
  3. Step 3: Cross multiply
    251,956.31x = 548,199.38 × 548,199.38
  4. Step 4: Simplify right side
    251,956.31x = 300,522,554,750.39
  5. Step 5: Solve for x
    x = 300,522,554,750.39/251,956.31
  6. Step 6: Final answer
    x = 1,192,756.60

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Why These Related Problems?

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