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Finding the Third Proportional to 193,924 and 404,452

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Solution

The third proportional to 193,924 and 404,452 is: 843,533.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,924 : 404,452 = 404,452 : x
  2. Step 2: Convert to fraction form
    193,924/404,452 = 404,452/x
  3. Step 3: Cross multiply
    193,924x = 404,452 × 404,452
  4. Step 4: Simplify right side
    193,924x = 163,581,420,304
  5. Step 5: Solve for x
    x = 163,581,420,304/193,924
  6. Step 6: Final answer
    x = 843,533.65

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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.