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Finding the Third Proportional to 183,674 and 283,701

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Solution

The third proportional to 183,674 and 283,701 is: 438,201.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,674 : 283,701 = 283,701 : x
  2. Step 2: Convert to fraction form
    183,674/283,701 = 283,701/x
  3. Step 3: Cross multiply
    183,674x = 283,701 × 283,701
  4. Step 4: Simplify right side
    183,674x = 80,486,257,401
  5. Step 5: Solve for x
    x = 80,486,257,401/183,674
  6. Step 6: Final answer
    x = 438,201.69

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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.