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Finding the Third Proportional to 174,376 and 388,232

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Solution

The third proportional to 174,376 and 388,232 is: 864,362.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,376 : 388,232 = 388,232 : x
  2. Step 2: Convert to fraction form
    174,376/388,232 = 388,232/x
  3. Step 3: Cross multiply
    174,376x = 388,232 × 388,232
  4. Step 4: Simplify right side
    174,376x = 150,724,085,824
  5. Step 5: Solve for x
    x = 150,724,085,824/174,376
  6. Step 6: Final answer
    x = 864,362.56

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.