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Finding the Third Proportional to 177,914 and 388,669

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Solution

The third proportional to 177,914 and 388,669 is: 849,082.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,914 : 388,669 = 388,669 : x
  2. Step 2: Convert to fraction form
    177,914/388,669 = 388,669/x
  3. Step 3: Cross multiply
    177,914x = 388,669 × 388,669
  4. Step 4: Simplify right side
    177,914x = 151,063,591,561
  5. Step 5: Solve for x
    x = 151,063,591,561/177,914
  6. Step 6: Final answer
    x = 849,082.09

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.