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Finding the Third Proportional to 192,772 and 417,724

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Solution

The third proportional to 192,772 and 417,724 is: 905,179.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,772 : 417,724 = 417,724 : x
  2. Step 2: Convert to fraction form
    192,772/417,724 = 417,724/x
  3. Step 3: Cross multiply
    192,772x = 417,724 × 417,724
  4. Step 4: Simplify right side
    192,772x = 174,493,340,176
  5. Step 5: Solve for x
    x = 174,493,340,176/192,772
  6. Step 6: Final answer
    x = 905,179.90

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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.