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Finding the Third Proportional to 195,770 and 422,644

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Solution

The third proportional to 195,770 and 422,644 is: 912,437.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,770 : 422,644 = 422,644 : x
  2. Step 2: Convert to fraction form
    195,770/422,644 = 422,644/x
  3. Step 3: Cross multiply
    195,770x = 422,644 × 422,644
  4. Step 4: Simplify right side
    195,770x = 178,627,950,736
  5. Step 5: Solve for x
    x = 178,627,950,736/195,770
  6. Step 6: Final answer
    x = 912,437.81

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.