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Finding the Third Proportional to 178,231.69 and 371,206.69

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Solution

The third proportional to 178,231.69 and 371,206.69 is: 773,119.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,231.69 : 371,206.69 = 371,206.69 : x
  2. Step 2: Convert to fraction form
    178,231.69/371,206.69 = 371,206.69/x
  3. Step 3: Cross multiply
    178,231.69x = 371,206.69 × 371,206.69
  4. Step 4: Simplify right side
    178,231.69x = 137,794,404,844.72
  5. Step 5: Solve for x
    x = 137,794,404,844.72/178,231.69
  6. Step 6: Final answer
    x = 773,119.57

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.