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Finding the Third Proportional to 179,371.25 and 393,728.50

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Solution

The third proportional to 179,371.25 and 393,728.50 is: 864,252.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,371.25 : 393,728.50 = 393,728.50 : x
  2. Step 2: Convert to fraction form
    179,371.25/393,728.50 = 393,728.50/x
  3. Step 3: Cross multiply
    179,371.25x = 393,728.50 × 393,728.50
  4. Step 4: Simplify right side
    179,371.25x = 155,022,131,712.25
  5. Step 5: Solve for x
    x = 155,022,131,712.25/179,371.25
  6. Step 6: Final answer
    x = 864,252.95

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.