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Finding the Third Proportional to 177,824 and 388,844

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Solution

The third proportional to 177,824 and 388,844 is: 850,276.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,824 : 388,844 = 388,844 : x
  2. Step 2: Convert to fraction form
    177,824/388,844 = 388,844/x
  3. Step 3: Cross multiply
    177,824x = 388,844 × 388,844
  4. Step 4: Simplify right side
    177,824x = 151,199,656,336
  5. Step 5: Solve for x
    x = 151,199,656,336/177,824
  6. Step 6: Final answer
    x = 850,276.99

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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.