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Finding the Third Proportional to 183,721 and 393,684

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Solution

The third proportional to 183,721 and 393,684 is: 843,600.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,721 : 393,684 = 393,684 : x
  2. Step 2: Convert to fraction form
    183,721/393,684 = 393,684/x
  3. Step 3: Cross multiply
    183,721x = 393,684 × 393,684
  4. Step 4: Simplify right side
    183,721x = 154,987,091,856
  5. Step 5: Solve for x
    x = 154,987,091,856/183,721
  6. Step 6: Final answer
    x = 843,600.31

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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.