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Finding the Third Proportional to 183,741 and 393,723

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Solution

The third proportional to 183,741 and 393,723 is: 843,675.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,741 : 393,723 = 393,723 : x
  2. Step 2: Convert to fraction form
    183,741/393,723 = 393,723/x
  3. Step 3: Cross multiply
    183,741x = 393,723 × 393,723
  4. Step 4: Simplify right side
    183,741x = 155,017,800,729
  5. Step 5: Solve for x
    x = 155,017,800,729/183,741
  6. Step 6: Final answer
    x = 843,675.61

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.