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Finding the Third Proportional to 193,518 and 298,906

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Solution

The third proportional to 193,518 and 298,906 is: 461,687.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,518 : 298,906 = 298,906 : x
  2. Step 2: Convert to fraction form
    193,518/298,906 = 298,906/x
  3. Step 3: Cross multiply
    193,518x = 298,906 × 298,906
  4. Step 4: Simplify right side
    193,518x = 89,344,796,836
  5. Step 5: Solve for x
    x = 89,344,796,836/193,518
  6. Step 6: Final answer
    x = 461,687.27

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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.