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Finding the Third Proportional to 193,589.25 and 293,298

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Solution

The third proportional to 193,589.25 and 293,298 is: 444,362.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,589.25 : 293,298 = 293,298 : x
  2. Step 2: Convert to fraction form
    193,589.25/293,298 = 293,298/x
  3. Step 3: Cross multiply
    193,589.25x = 293,298 × 293,298
  4. Step 4: Simplify right side
    193,589.25x = 86,023,716,804
  5. Step 5: Solve for x
    x = 86,023,716,804/193,589.25
  6. Step 6: Final answer
    x = 444,362.05

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.