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Finding the Third Proportional to 192,788 and 417,756

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Solution

The third proportional to 192,788 and 417,756 is: 905,243.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,788 : 417,756 = 417,756 : x
  2. Step 2: Convert to fraction form
    192,788/417,756 = 417,756/x
  3. Step 3: Cross multiply
    192,788x = 417,756 × 417,756
  4. Step 4: Simplify right side
    192,788x = 174,520,075,536
  5. Step 5: Solve for x
    x = 174,520,075,536/192,788
  6. Step 6: Final answer
    x = 905,243.46

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.