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Finding the Third Proportional to 137,284 and 300,812

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Solution

The third proportional to 137,284 and 300,812 is: 659,128.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,284 : 300,812 = 300,812 : x
  2. Step 2: Convert to fraction form
    137,284/300,812 = 300,812/x
  3. Step 3: Cross multiply
    137,284x = 300,812 × 300,812
  4. Step 4: Simplify right side
    137,284x = 90,487,859,344
  5. Step 5: Solve for x
    x = 90,487,859,344/137,284
  6. Step 6: Final answer
    x = 659,128.95

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.