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Finding the Third Proportional to 179,964.75 and 393,828.25

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Solution

The third proportional to 179,964.75 and 393,828.25 is: 861,839.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,964.75 : 393,828.25 = 393,828.25 : x
  2. Step 2: Convert to fraction form
    179,964.75/393,828.25 = 393,828.25/x
  3. Step 3: Cross multiply
    179,964.75x = 393,828.25 × 393,828.25
  4. Step 4: Simplify right side
    179,964.75x = 155,100,690,498.06
  5. Step 5: Solve for x
    x = 155,100,690,498.06/179,964.75
  6. Step 6: Final answer
    x = 861,839.28

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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.