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Finding the Third Proportional to 181,430 and 395,110

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Solution

The third proportional to 181,430 and 395,110 is: 860,452.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,430 : 395,110 = 395,110 : x
  2. Step 2: Convert to fraction form
    181,430/395,110 = 395,110/x
  3. Step 3: Cross multiply
    181,430x = 395,110 × 395,110
  4. Step 4: Simplify right side
    181,430x = 156,111,912,100
  5. Step 5: Solve for x
    x = 156,111,912,100/181,430
  6. Step 6: Final answer
    x = 860,452.58

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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.