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Finding the Third Proportional to 212,843 and 319,298

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Solution

The third proportional to 212,843 and 319,298 is: 478,997.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,843 : 319,298 = 319,298 : x
  2. Step 2: Convert to fraction form
    212,843/319,298 = 319,298/x
  3. Step 3: Cross multiply
    212,843x = 319,298 × 319,298
  4. Step 4: Simplify right side
    212,843x = 101,951,212,804
  5. Step 5: Solve for x
    x = 101,951,212,804/212,843
  6. Step 6: Final answer
    x = 478,997.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.