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Finding the Third Proportional to 192,298 and 417,766

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Solution

The third proportional to 192,298 and 417,766 is: 907,593.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,298 : 417,766 = 417,766 : x
  2. Step 2: Convert to fraction form
    192,298/417,766 = 417,766/x
  3. Step 3: Cross multiply
    192,298x = 417,766 × 417,766
  4. Step 4: Simplify right side
    192,298x = 174,528,430,756
  5. Step 5: Solve for x
    x = 174,528,430,756/192,298
  6. Step 6: Final answer
    x = 907,593.58

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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.