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Finding the Third Proportional to 183,922 and 410,901

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Solution

The third proportional to 183,922 and 410,901 is: 917,995.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,922 : 410,901 = 410,901 : x
  2. Step 2: Convert to fraction form
    183,922/410,901 = 410,901/x
  3. Step 3: Cross multiply
    183,922x = 410,901 × 410,901
  4. Step 4: Simplify right side
    183,922x = 168,839,631,801
  5. Step 5: Solve for x
    x = 168,839,631,801/183,922
  6. Step 6: Final answer
    x = 917,995.84

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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.