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Finding the Third Proportional to 190,994 and 404,756

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Solution

The third proportional to 190,994 and 404,756 is: 857,762.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,994 : 404,756 = 404,756 : x
  2. Step 2: Convert to fraction form
    190,994/404,756 = 404,756/x
  3. Step 3: Cross multiply
    190,994x = 404,756 × 404,756
  4. Step 4: Simplify right side
    190,994x = 163,827,419,536
  5. Step 5: Solve for x
    x = 163,827,419,536/190,994
  6. Step 6: Final answer
    x = 857,762.13

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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.