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Finding the Third Proportional to 190,992 and 404,752

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Solution

The third proportional to 190,992 and 404,752 is: 857,754.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,992 : 404,752 = 404,752 : x
  2. Step 2: Convert to fraction form
    190,992/404,752 = 404,752/x
  3. Step 3: Cross multiply
    190,992x = 404,752 × 404,752
  4. Step 4: Simplify right side
    190,992x = 163,824,181,504
  5. Step 5: Solve for x
    x = 163,824,181,504/190,992
  6. Step 6: Final answer
    x = 857,754.15

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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.