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Finding the Third Proportional to 177,232 and 388,912

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Solution

The third proportional to 177,232 and 388,912 is: 853,415.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,232 : 388,912 = 388,912 : x
  2. Step 2: Convert to fraction form
    177,232/388,912 = 388,912/x
  3. Step 3: Cross multiply
    177,232x = 388,912 × 388,912
  4. Step 4: Simplify right side
    177,232x = 151,252,543,744
  5. Step 5: Solve for x
    x = 151,252,543,744/177,232
  6. Step 6: Final answer
    x = 853,415.54

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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.