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Finding the Third Proportional to 193,185 and 431,568

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Solution

The third proportional to 193,185 and 431,568 is: 964,106.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,185 : 431,568 = 431,568 : x
  2. Step 2: Convert to fraction form
    193,185/431,568 = 431,568/x
  3. Step 3: Cross multiply
    193,185x = 431,568 × 431,568
  4. Step 4: Simplify right side
    193,185x = 186,250,938,624
  5. Step 5: Solve for x
    x = 186,250,938,624/193,185
  6. Step 6: Final answer
    x = 964,106.63

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.