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Finding the Third Proportional to 94,529 and 207,694

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Solution

The third proportional to 94,529 and 207,694 is: 456,334.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,529 : 207,694 = 207,694 : x
  2. Step 2: Convert to fraction form
    94,529/207,694 = 207,694/x
  3. Step 3: Cross multiply
    94,529x = 207,694 × 207,694
  4. Step 4: Simplify right side
    94,529x = 43,136,797,636
  5. Step 5: Solve for x
    x = 43,136,797,636/94,529
  6. Step 6: Final answer
    x = 456,334.01

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.