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Finding the Third Proportional to 181,775 and 395,526

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Solution

The third proportional to 181,775 and 395,526 is: 860,628.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,775 : 395,526 = 395,526 : x
  2. Step 2: Convert to fraction form
    181,775/395,526 = 395,526/x
  3. Step 3: Cross multiply
    181,775x = 395,526 × 395,526
  4. Step 4: Simplify right side
    181,775x = 156,440,816,676
  5. Step 5: Solve for x
    x = 156,440,816,676/181,775
  6. Step 6: Final answer
    x = 860,628.89

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.