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Finding the Third Proportional to 181,746 and 391,266

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Solution

The third proportional to 181,746 and 391,266 is: 842,324.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,746 : 391,266 = 391,266 : x
  2. Step 2: Convert to fraction form
    181,746/391,266 = 391,266/x
  3. Step 3: Cross multiply
    181,746x = 391,266 × 391,266
  4. Step 4: Simplify right side
    181,746x = 153,089,082,756
  5. Step 5: Solve for x
    x = 153,089,082,756/181,746
  6. Step 6: Final answer
    x = 842,324.36

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.