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Finding the Third Proportional to 177,276.09 and 388,997.44

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Solution

The third proportional to 177,276.09 and 388,997.44 is: 853,578.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,276.09 : 388,997.44 = 388,997.44 : x
  2. Step 2: Convert to fraction form
    177,276.09/388,997.44 = 388,997.44/x
  3. Step 3: Cross multiply
    177,276.09x = 388,997.44 × 388,997.44
  4. Step 4: Simplify right side
    177,276.09x = 151,319,006,381.57
  5. Step 5: Solve for x
    x = 151,319,006,381.57/177,276.09
  6. Step 6: Final answer
    x = 853,578.19

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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.