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Finding the Third Proportional to 181,802 and 372,418

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Solution

The third proportional to 181,802 and 372,418 is: 762,891.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,802 : 372,418 = 372,418 : x
  2. Step 2: Convert to fraction form
    181,802/372,418 = 372,418/x
  3. Step 3: Cross multiply
    181,802x = 372,418 × 372,418
  4. Step 4: Simplify right side
    181,802x = 138,695,166,724
  5. Step 5: Solve for x
    x = 138,695,166,724/181,802
  6. Step 6: Final answer
    x = 762,891.31

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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.