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Finding the Third Proportional to 181,992 and 278,786

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Solution

The third proportional to 181,992 and 278,786 is: 427,060.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,992 : 278,786 = 278,786 : x
  2. Step 2: Convert to fraction form
    181,992/278,786 = 278,786/x
  3. Step 3: Cross multiply
    181,992x = 278,786 × 278,786
  4. Step 4: Simplify right side
    181,992x = 77,721,633,796
  5. Step 5: Solve for x
    x = 77,721,633,796/181,992
  6. Step 6: Final answer
    x = 427,060.72

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.