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Finding the Third Proportional to 193,566 and 404,868

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Solution

The third proportional to 193,566 and 404,868 is: 846,833.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,566 : 404,868 = 404,868 : x
  2. Step 2: Convert to fraction form
    193,566/404,868 = 404,868/x
  3. Step 3: Cross multiply
    193,566x = 404,868 × 404,868
  4. Step 4: Simplify right side
    193,566x = 163,918,097,424
  5. Step 5: Solve for x
    x = 163,918,097,424/193,566
  6. Step 6: Final answer
    x = 846,833.11

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.