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Finding the Third Proportional to 181,086 and 236,610

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Solution

The third proportional to 181,086 and 236,610 is: 309,158.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,086 : 236,610 = 236,610 : x
  2. Step 2: Convert to fraction form
    181,086/236,610 = 236,610/x
  3. Step 3: Cross multiply
    181,086x = 236,610 × 236,610
  4. Step 4: Simplify right side
    181,086x = 55,984,292,100
  5. Step 5: Solve for x
    x = 55,984,292,100/181,086
  6. Step 6: Final answer
    x = 309,158.59

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.