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Finding the Third Proportional to 171,234 and 366,231.38

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Solution

The third proportional to 171,234 and 366,231.38 is: 783,287.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,234 : 366,231.38 = 366,231.38 : x
  2. Step 2: Convert to fraction form
    171,234/366,231.38 = 366,231.38/x
  3. Step 3: Cross multiply
    171,234x = 366,231.38 × 366,231.38
  4. Step 4: Simplify right side
    171,234x = 134,125,420,034.39
  5. Step 5: Solve for x
    x = 134,125,420,034.39/171,234
  6. Step 6: Final answer
    x = 783,287.31

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.