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Finding the Third Proportional to 177,300 and 388,512

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Solution

The third proportional to 177,300 and 388,512 is: 851,334.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,300 : 388,512 = 388,512 : x
  2. Step 2: Convert to fraction form
    177,300/388,512 = 388,512/x
  3. Step 3: Cross multiply
    177,300x = 388,512 × 388,512
  4. Step 4: Simplify right side
    177,300x = 150,941,574,144
  5. Step 5: Solve for x
    x = 150,941,574,144/177,300
  6. Step 6: Final answer
    x = 851,334.32

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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.