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Finding the Third Proportional to 183,930 and 410,917

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Solution

The third proportional to 183,930 and 410,917 is: 918,027.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,930 : 410,917 = 410,917 : x
  2. Step 2: Convert to fraction form
    183,930/410,917 = 410,917/x
  3. Step 3: Cross multiply
    183,930x = 410,917 × 410,917
  4. Step 4: Simplify right side
    183,930x = 168,852,780,889
  5. Step 5: Solve for x
    x = 168,852,780,889/183,930
  6. Step 6: Final answer
    x = 918,027.41

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.