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Finding the Third Proportional to 179,836 and 393,934

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Solution

The third proportional to 179,836 and 393,934 is: 862,919.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,836 : 393,934 = 393,934 : x
  2. Step 2: Convert to fraction form
    179,836/393,934 = 393,934/x
  3. Step 3: Cross multiply
    179,836x = 393,934 × 393,934
  4. Step 4: Simplify right side
    179,836x = 155,183,996,356
  5. Step 5: Solve for x
    x = 155,183,996,356/179,836
  6. Step 6: Final answer
    x = 862,919.53

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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.