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Finding the Third Proportional to 150,743 and 371,694

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Solution

The third proportional to 150,743 and 371,694 is: 916,503.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,743 : 371,694 = 371,694 : x
  2. Step 2: Convert to fraction form
    150,743/371,694 = 371,694/x
  3. Step 3: Cross multiply
    150,743x = 371,694 × 371,694
  4. Step 4: Simplify right side
    150,743x = 138,156,429,636
  5. Step 5: Solve for x
    x = 138,156,429,636/150,743
  6. Step 6: Final answer
    x = 916,503.12

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Why These Related Problems?

These problems maintain the same ratio (2.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.