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Finding the Third Proportional to 190,995 and 404,757

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Solution

The third proportional to 190,995 and 404,757 is: 857,761.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,995 : 404,757 = 404,757 : x
  2. Step 2: Convert to fraction form
    190,995/404,757 = 404,757/x
  3. Step 3: Cross multiply
    190,995x = 404,757 × 404,757
  4. Step 4: Simplify right side
    190,995x = 163,828,229,049
  5. Step 5: Solve for x
    x = 163,828,229,049/190,995
  6. Step 6: Final answer
    x = 857,761.87

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.