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Finding the Third Proportional to 193,970 and 299,163

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Solution

The third proportional to 193,970 and 299,163 is: 461,403.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,970 : 299,163 = 299,163 : x
  2. Step 2: Convert to fraction form
    193,970/299,163 = 299,163/x
  3. Step 3: Cross multiply
    193,970x = 299,163 × 299,163
  4. Step 4: Simplify right side
    193,970x = 89,498,500,569
  5. Step 5: Solve for x
    x = 89,498,500,569/193,970
  6. Step 6: Final answer
    x = 461,403.83

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.