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Finding the Third Proportional to 193,756 and 432,872

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Solution

The third proportional to 193,756 and 432,872 is: 967,083.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,756 : 432,872 = 432,872 : x
  2. Step 2: Convert to fraction form
    193,756/432,872 = 432,872/x
  3. Step 3: Cross multiply
    193,756x = 432,872 × 432,872
  4. Step 4: Simplify right side
    193,756x = 187,378,168,384
  5. Step 5: Solve for x
    x = 187,378,168,384/193,756
  6. Step 6: Final answer
    x = 967,083.18

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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.