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Finding the Third Proportional to 181,732 and 275,878

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Solution

The third proportional to 181,732 and 275,878 is: 418,796.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,732 : 275,878 = 275,878 : x
  2. Step 2: Convert to fraction form
    181,732/275,878 = 275,878/x
  3. Step 3: Cross multiply
    181,732x = 275,878 × 275,878
  4. Step 4: Simplify right side
    181,732x = 76,108,670,884
  5. Step 5: Solve for x
    x = 76,108,670,884/181,732
  6. Step 6: Final answer
    x = 418,796.20

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.