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Finding the Third Proportional to 183,674 and 283,699

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Solution

The third proportional to 183,674 and 283,699 is: 438,195.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,674 : 283,699 = 283,699 : x
  2. Step 2: Convert to fraction form
    183,674/283,699 = 283,699/x
  3. Step 3: Cross multiply
    183,674x = 283,699 × 283,699
  4. Step 4: Simplify right side
    183,674x = 80,485,122,601
  5. Step 5: Solve for x
    x = 80,485,122,601/183,674
  6. Step 6: Final answer
    x = 438,195.51

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.