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Finding the Third Proportional to 179,970 and 393,839

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Solution

The third proportional to 179,970 and 393,839 is: 861,861.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,970 : 393,839 = 393,839 : x
  2. Step 2: Convert to fraction form
    179,970/393,839 = 393,839/x
  3. Step 3: Cross multiply
    179,970x = 393,839 × 393,839
  4. Step 4: Simplify right side
    179,970x = 155,109,157,921
  5. Step 5: Solve for x
    x = 155,109,157,921/179,970
  6. Step 6: Final answer
    x = 861,861.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.