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Finding the Third Proportional to 177,997 and 388,817

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Solution

The third proportional to 177,997 and 388,817 is: 849,332.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,997 : 388,817 = 388,817 : x
  2. Step 2: Convert to fraction form
    177,997/388,817 = 388,817/x
  3. Step 3: Cross multiply
    177,997x = 388,817 × 388,817
  4. Step 4: Simplify right side
    177,997x = 151,178,659,489
  5. Step 5: Solve for x
    x = 151,178,659,489/177,997
  6. Step 6: Final answer
    x = 849,332.63

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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.