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Finding the Third Proportional to 192,836 and 418,841

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Solution

The third proportional to 192,836 and 418,841 is: 909,725.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,836 : 418,841 = 418,841 : x
  2. Step 2: Convert to fraction form
    192,836/418,841 = 418,841/x
  3. Step 3: Cross multiply
    192,836x = 418,841 × 418,841
  4. Step 4: Simplify right side
    192,836x = 175,427,783,281
  5. Step 5: Solve for x
    x = 175,427,783,281/192,836
  6. Step 6: Final answer
    x = 909,725.28

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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.