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Finding the Third Proportional to 151,546 and 319,067

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Solution

The third proportional to 151,546 and 319,067 is: 671,767.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,546 : 319,067 = 319,067 : x
  2. Step 2: Convert to fraction form
    151,546/319,067 = 319,067/x
  3. Step 3: Cross multiply
    151,546x = 319,067 × 319,067
  4. Step 4: Simplify right side
    151,546x = 101,803,750,489
  5. Step 5: Solve for x
    x = 101,803,750,489/151,546
  6. Step 6: Final answer
    x = 671,767.98

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.