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Finding the Third Proportional to 137,831 and 300,274

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Solution

The third proportional to 137,831 and 300,274 is: 654,166.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,831 : 300,274 = 300,274 : x
  2. Step 2: Convert to fraction form
    137,831/300,274 = 300,274/x
  3. Step 3: Cross multiply
    137,831x = 300,274 × 300,274
  4. Step 4: Simplify right side
    137,831x = 90,164,475,076
  5. Step 5: Solve for x
    x = 90,164,475,076/137,831
  6. Step 6: Final answer
    x = 654,166.88

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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.