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Finding the Third Proportional to 177,936.75 and 209,307.38

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Solution

The third proportional to 177,936.75 and 209,307.38 is: 246,208.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,936.75 : 209,307.38 = 209,307.38 : x
  2. Step 2: Convert to fraction form
    177,936.75/209,307.38 = 209,307.38/x
  3. Step 3: Cross multiply
    177,936.75x = 209,307.38 × 209,307.38
  4. Step 4: Simplify right side
    177,936.75x = 43,809,577,229.39
  5. Step 5: Solve for x
    x = 43,809,577,229.39/177,936.75
  6. Step 6: Final answer
    x = 246,208.71

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.