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Finding the Third Proportional to 193,916 and 404,437

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Solution

The third proportional to 193,916 and 404,437 is: 843,505.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,916 : 404,437 = 404,437 : x
  2. Step 2: Convert to fraction form
    193,916/404,437 = 404,437/x
  3. Step 3: Cross multiply
    193,916x = 404,437 × 404,437
  4. Step 4: Simplify right side
    193,916x = 163,569,286,969
  5. Step 5: Solve for x
    x = 163,569,286,969/193,916
  6. Step 6: Final answer
    x = 843,505.88

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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.