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Finding the Third Proportional to 137,978 and 301,786

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Solution

The third proportional to 137,978 and 301,786 is: 660,067.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,978 : 301,786 = 301,786 : x
  2. Step 2: Convert to fraction form
    137,978/301,786 = 301,786/x
  3. Step 3: Cross multiply
    137,978x = 301,786 × 301,786
  4. Step 4: Simplify right side
    137,978x = 91,074,789,796
  5. Step 5: Solve for x
    x = 91,074,789,796/137,978
  6. Step 6: Final answer
    x = 660,067.47

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.