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Finding the Third Proportional to 193,561 and 404,860

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Solution

The third proportional to 193,561 and 404,860 is: 846,821.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,561 : 404,860 = 404,860 : x
  2. Step 2: Convert to fraction form
    193,561/404,860 = 404,860/x
  3. Step 3: Cross multiply
    193,561x = 404,860 × 404,860
  4. Step 4: Simplify right side
    193,561x = 163,911,619,600
  5. Step 5: Solve for x
    x = 163,911,619,600/193,561
  6. Step 6: Final answer
    x = 846,821.52

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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.