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Finding the Third Proportional to 177,224 and 388,896

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Solution

The third proportional to 177,224 and 388,896 is: 853,383.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,224 : 388,896 = 388,896 : x
  2. Step 2: Convert to fraction form
    177,224/388,896 = 388,896/x
  3. Step 3: Cross multiply
    177,224x = 388,896 × 388,896
  4. Step 4: Simplify right side
    177,224x = 151,240,098,816
  5. Step 5: Solve for x
    x = 151,240,098,816/177,224
  6. Step 6: Final answer
    x = 853,383.85

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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.