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Finding the Third Proportional to 192,852 and 418,508

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Solution

The third proportional to 192,852 and 418,508 is: 908,203.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,852 : 418,508 = 418,508 : x
  2. Step 2: Convert to fraction form
    192,852/418,508 = 418,508/x
  3. Step 3: Cross multiply
    192,852x = 418,508 × 418,508
  4. Step 4: Simplify right side
    192,852x = 175,148,946,064
  5. Step 5: Solve for x
    x = 175,148,946,064/192,852
  6. Step 6: Final answer
    x = 908,203.94

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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.