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Finding the Third Proportional to 161,659 and 351,298

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Solution

The third proportional to 161,659 and 351,298 is: 763,398.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,659 : 351,298 = 351,298 : x
  2. Step 2: Convert to fraction form
    161,659/351,298 = 351,298/x
  3. Step 3: Cross multiply
    161,659x = 351,298 × 351,298
  4. Step 4: Simplify right side
    161,659x = 123,410,284,804
  5. Step 5: Solve for x
    x = 123,410,284,804/161,659
  6. Step 6: Final answer
    x = 763,398.79

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.