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Finding the Third Proportional to 251,946.38 and 548,177

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Solution

The third proportional to 251,946.38 and 548,177 is: 1,192,706.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,946.38 : 548,177 = 548,177 : x
  2. Step 2: Convert to fraction form
    251,946.38/548,177 = 548,177/x
  3. Step 3: Cross multiply
    251,946.38x = 548,177 × 548,177
  4. Step 4: Simplify right side
    251,946.38x = 300,498,023,329
  5. Step 5: Solve for x
    x = 300,498,023,329/251,946.38
  6. Step 6: Final answer
    x = 1,192,706.28

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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.