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Finding the Third Proportional to 181,740 and 372,546

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Solution

The third proportional to 181,740 and 372,546 is: 763,676.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,740 : 372,546 = 372,546 : x
  2. Step 2: Convert to fraction form
    181,740/372,546 = 372,546/x
  3. Step 3: Cross multiply
    181,740x = 372,546 × 372,546
  4. Step 4: Simplify right side
    181,740x = 138,790,522,116
  5. Step 5: Solve for x
    x = 138,790,522,116/181,740
  6. Step 6: Final answer
    x = 763,676.25

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.